Methods of Graded Rings

ISBN-13: 9783540207467 / Angielski / Miękka / 2004 / 306 str.

Constantin Nastasescu; Freddy Van Oystaeyen

Opis

The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a self-contained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars.

Spis treści

The Category of Graded Rings.- The Category of Graded Modules.- Modules over Stronly Graded Rings.- Graded Clifford Theory.- Internal Homogenization.- External Homogenization.- Smash Products.- Localization of Graded Rings.- Application to Gradability.- Appendix A: Some Category Theory.- Appendix B: Dimensions in an Abelian Category.- Bibliography.- Index.

O autorze

Constantin Nastasescu received his Ph. D. at the University of Bucharest in 1970 and became Prof. Titular in 1990. Since 1993 he is a member of the Roumanian Academy of Sciences. He published more than 125 scientific publications in international journals as well as several monographs and books.

Fred Van Oystaeyen received his Ph. D. from the Free University of Amsterdam in 1972 and became professor at the University of Antwerp in 1975. He published over 225 papers and books and is coordinator of several European research programmes including the programme on noncommutative geometry (NOG) of the European Science Foundation and the project Liegrits of the EC in the 6^th Framework Programme, as well as the educational programme on mathematical methods of robotics for ERASMUS.