Abelian Groups, Rings, Modules, and Homological Algebra

ISBN-13: 9781138402041 / Angielski / Twarda / 2018

Pat Goeters

Opis

About the book� In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on some of today's foremost research topics. This carefully edited volume presents the refereed papers of the participants of these talks along with contributions from other veteran researchers who were unable to attend. These papers reflect many of the current topics in Abelian Groups, Commutative Algebra, Commutative Rings, Group Theory, Homological Algebra, Lie Algebras, and Module Theory. Accessible even to beginning mathematicians, many of these articles suggest problems and programs for future study. This volume is an outstanding addition to the literature and a valuable handbook for beginning as well as seasoned researchers in Algebra. about the editors� H. PAT GOETERS completed his undergraduate studies in mathematics and computer science at Southern Connecticut State University and received his Ph.D. in 1984 from the University of Connecticut under the supervision of William J. Wickless. After spending one year in a post-doctoral position in Wesleyan University under the tutelage of James D. Reid, Goeters was invited for a tenure track position in Auburn University by Ulrich F. Albrecht. Soon afterwards, William Ullery and Overtoun Jenda were hired, and so began a lively Algebra group. OVERTOUN M. G. JENDA received his bachelor's degree in Mathematics from Chancellor College, the University of Malawi. He moved to the U.S. 1977 to pursue graduate studies at University of Kentucky, earning his Ph.D. in 1981 under the supervision of Professor Edgar Enochs. He then returned to Chancellor College, where he was a lecturer (assistant professor) for three years. He moved to the University of Botswana for another three-year stint as a lecturer before moving back to the University of Kentucky as a visi

Spis treści

Some Aspects of Noncommutative Geometry. Omega Groups. Cancellation for Quotient Divisible Mixed Abelian Groups. Abelian Groups and Topological Structures. Gorenstein Homological Algebra. Applications of Module Approximations. Picard Groups of Certain Module Categories. Some Trends in the Theory of Covers and Envelopes. On Degenerate B2 Groups. The Loewy Length of Modules over Almost Perfect Domains. Half-factorial Domains. Projective Presentations of Finitely Generated Modules over Integral Domains. E-locally Cyclic Abelian Groups and Maximal Near-rings of Mappings. Approximately Simultaneously Diagnoalizable Matrices. FI-extending Hulls for Abelian Groups. Torsion-free Modules over a Discrete Valuation Ring. Forcing a Finite Group to be Abelian. Torsion-free Modules over Non-commutative Rings. Axiom 3 and Coverings. Divisibility Properties in Ultrapowers of Commutative Rings. Localizations of Torsion-free Abelian Groups. Modular Representations of Algebraic Groups, Finite Groups, and Frobenius Kernels. Homological Properties of Universal Enveloping Algebras.

O autorze

Pat Goeters, Overtoun M.G. Jenda