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Introductory Lectures on Rings and Modules
ISBN: 9780521644075 / Angielski / Miękka / 248 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material...
The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a backgro...
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cena:
223,04 zł |
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The Q-Schur Algebra
ISBN: 9780521645584 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book focuses on the representation theory of q-Schur algebras and connections with the representation theory of Hecke algebras and quantum general linear groups. The aim is to present, from a unified point of view, quantum analogs of certain results known already in the classical case. The approach is largely homological, based on Kempf's vanishing theorem for quantum groups and the quasi-hereditary structure of the q-Schur algebras. Beginning with an introductory chapter dealing with the relationship between the ordinary general linear groups and their quantum analogies, the text goes...
This book focuses on the representation theory of q-Schur algebras and connections with the representation theory of Hecke algebras and quantum genera...
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cena:
301,44 zł |
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Steps in Commutative Algebra
ISBN: 9780521646239 / Angielski / Miękka / 368 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This introductory account of commutative algebra is aimed at students with a background only in basic algebra. Professor Sharp's book provides a good foundation from which the reader can proceed to more advanced works in commutative algebra or algebraic geometry. This new edition contains additional chapters on regular sequences and on Cohen-Macaulay rings.
This introductory account of commutative algebra is aimed at students with a background only in basic algebra. Professor Sharp's book provides a good ...
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cena:
232,27 zł |
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Arithmetic of Quadratic Forms
ISBN: 9780521649964 / Angielski / Miękka / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides an introduction to quadratic forms, building from basics to the most recent results. Professor Kitaoka is well known for his work in this area, and in this book he covers many aspects of the subject, including lattice theory, Siegel's formula, and some results involving tensor products of positive definite quadratic forms. The reader should have a knowledge of algebraic number fields, making this book ideal for graduate students and researchers wishing for an insight into quadratic forms.
This book provides an introduction to quadratic forms, building from basics to the most recent results. Professor Kitaoka is well known for his work i...
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cena:
269,16 zł |
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Permutation Groups
ISBN: 9780521653787 / Angielski / Miękka / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Permutation groups are one of the oldest topics in algebra. Their study has recently been revolutionized by new developments, particularly the Classification of Finite Simple Groups, but also relations with logic and combinatorics, and importantly, computer algebra systems have been introduced that can deal with large permutation groups. This text summarizes these developments, including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying the Classification of Finite Simple Groups. It is aimed at beginning graduate students and...
Permutation groups are one of the oldest topics in algebra. Their study has recently been revolutionized by new developments, particularly the Classif...
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cena:
246,10 zł |
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Handbook of Tilting Theory
ISBN: 9780521680455 / Angielski / Miękka / 484 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and reference for newcomers and experts alike.
Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathe...
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cena:
421,34 zł |
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Integral Closure of Ideals, Rings, and Modules
ISBN: 9780521688604 / Angielski / Miękka / 448 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for ideals perhaps began with the work of Krull and Zariski in the 1930s. It has developed into a tool for the analysis of many algebraic and geometric problems. This book collects together the central notions of integral closure and presents a unified treatment. Techniques and topics covered include: behavior of the Noetherian property under integral closure, analytically unramified rings, the conductor, field separability, valuations, Rees...
Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for i...
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cena:
384,45 zł |
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Groups St Andrews 2005: Volume 2
ISBN: 9780521694704 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 'Groups St Andrews 2005' was held in the University of St Andrews in August 2005 and this second volume of a two-volume book contains selected papers from the international conference. Four main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions by John Meakin (Lincoln, Nebraska) and Akos Seress (Ohio State). Apart from the main speakers, refereed survey and research articles were contributed by other conference participants. Arranged in alphabetical order, these articles cover a...
'Groups St Andrews 2005' was held in the University of St Andrews in August 2005 and this second volume of a two-volume book contains selected papers ...
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cena:
375,00 zł |
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Quantum Groups: A Path to Current Algebra
ISBN: 9780521695244 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to learn algebraic concepts and techniques. A key to understanding these new developments is categorical duality. A quantum group is a vector space with structure. Part of the structure is standard: a multiplication making it an 'algebra'. Another...
Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic str...
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cena:
273,78 zł |
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Algebraic Cycles and Motives: Volume 1
ISBN: 9780521701747 / Angielski / Miękka / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This 2007 book is one of two volumes that provide a self-contained account of the subject. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using...
Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebra...
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cena:
379,84 zł |
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Algebraic Cycles and Motives: Volume 2
ISBN: 9780521701754 / Angielski / Miękka / 374 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This book is one of two volumes that provide a self-contained account of the subject as it stands. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using...
Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebra...
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cena:
315,27 zł |
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Several Complex Variables
ISBN: 9780521770866 / Angielski / Twarda / 580 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The contributions in this major work focus on a central area of mathematics with strong ties to partial differential equations, algebraic geometry, number theory, and differential geometry. The 1995-96 MSRI program on Several Complex Variables emphasized these interactions and concentrated on current developments and problems that capitalize on this interplay of ideas and techniques. This collection provides a remarkably complete picture of the status of research in these overlapping areas and a basis for significant continued contributions from researchers. Several of the articles are...
The contributions in this major work focus on a central area of mathematics with strong ties to partial differential equations, algebraic geometry, nu...
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cena:
767,21 zł |
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Computational and Geometric Aspects of Modern Algebra
ISBN: 9780521788892 / Angielski / Miękka / 290 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This resource comprises a collection of papers from participants at the IMCS Workshop on Computational and Geometric Aspects of Modern Algebra, held at Heriot-Watt University in 1998. Written by leading researchers, the articles cover a wide range of topics in the vibrant areas of word problems in algebra and geometric group theory. This book represents a timely record of recent work and provides an indication of the key areas of future development.
This resource comprises a collection of papers from participants at the IMCS Workshop on Computational and Geometric Aspects of Modern Algebra, held a...
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cena:
315,27 zł |
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Torsors and Rational Points
ISBN: 9780521802376 / Angielski / Twarda / 196 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The subject of this book is arithmetic algebraic geometry, an area between number theory and algebraic geometry. It is about applying geometric methods to the study of polynomial equations in rational numbers (Diophantine equations). This book represents the first complete and coherent exposition in a single volume, of both the theory and applications of torsors to rational points. Some very recent material is included. It is demonstrated that torsors provide a unified approach to several branches of the theory which were hitherto developing in parallel.
The subject of this book is arithmetic algebraic geometry, an area between number theory and algebraic geometry. It is about applying geometric method...
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cena:
536,63 zł |
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Algebra and Geometry
ISBN: 9780521813624 / Angielski / Twarda / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text gives a basic introduction, and a unified approach, to algebra and geometry. Alan Beardon covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups, and various aspects of geometry including groups of isometries, rotations, and spherical geometry. The emphasis is on the interaction among these topics. The text is divided into short sections, with exercises at the end of each section.
This text gives a basic introduction, and a unified approach, to algebra and geometry. Alan Beardon covers the ideas of complex numbers, scalar and ve...
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cena:
462,85 zł |
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Quasi-Frobenius Rings
ISBN: 9780521815932 / Angielski / Twarda / 326 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides an elementary, complete account of quasi-Frobenius rings at a level allowing researchers and graduate students to gain entry to the field. A ring is called quasi-Frobenius if it is "right" or "left" selfinjective, and "right" or "left" artinian (all four combinations are equivalent). The study of these rings grew out of the theory of representations of a finite group as a group of matrices over a field, and the present extent of the theory is wide-ranging.
This book provides an elementary, complete account of quasi-Frobenius rings at a level allowing researchers and graduate students to gain entry to the...
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cena:
536,63 zł |
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Representation Theory of Finite Reductive Groups
ISBN: 9780521825177 / Angielski / Twarda / 456 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. At the crossroads of representation theory, algebraic geometry and finite group theory, this book brings together many of the main concerns of modern algebra, synthesizing the past twenty-five years of research, by including some of the most remarkable achievements in the field. The text is illustrated throughout by many examples, and background material is provided by several introductory chapters on basic results as well as appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and a reference for all algebraists.
At the crossroads of representation theory, algebraic geometry and finite group theory, this book brings together many of the main concerns of modern ...
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cena:
684,20 zł |
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Concrete Abstract Algebra: From Numbers to Gröbner Bases
ISBN: 9780521826792 / Angielski / Twarda / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gr"obner bases, while takin in all the usual material of a traditional introductory course. In addition, there is a rich supply of topics such as cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials, and systems of non-linear equations. A special feature is that Gr"obner bases do not appear as an isolated example. They are fully integrated as a subject that can be successfully taught in an undergraduate context. Lauritzen's approach to teaching...
Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gr"obner bases, while takin in all the usual material of a tradition...
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cena:
532,02 zł |
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Trends in Commutative Algebra
ISBN: 9780521831956 / Angielski / Twarda / 266 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on lectures by six internationally known experts presented at the 2002 MSRI introductory workshop on commutative algebra. They focus on the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology and representation theory, and combinatorics, with all necessary background provided. Short complementary papers describing work at the research frontier are also included. The unusual scope and format make the book invaluable reading for graduate students and researchers interested in commutative algebra and its various...
This book is based on lectures by six internationally known experts presented at the 2002 MSRI introductory workshop on commutative algebra. They focu...
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cena:
518,19 zł |
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Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean Type
ISBN: 9780521836104 / Angielski / Twarda / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The second of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers, geometry of tubes of indecomposable modules, and homological algebra. This volume provides an up-to-date introduction to the representation theory of the representation-infinite hereditary algebras of Euclidean type, as well as to concealed algebras of Euclidean type. The book is primarily addressed to a graduate student starting research in the...
The second of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraica...
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cena:
536,63 zł |
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