ENGLISH

Introduction to Noncommutative Algebra

By Matej Bresar

Book information

Publisher
Springer
Year
2014
ISBN
3319086928, 9783319086927
Language
english
Format
EPUB
Filesize
6 MB (6010675 bytes)
Series
Universitext
Edition
2014
Pages
199\0
Time added
2015-10-23 13:48:06

Description

Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. Only after this, modules, vector spaces over division rings, and tensor products are introduced and studied. This is followed by Jacobson's structure theory of rings. The final chapters treat free algebras, polynomial identities, and rings of quotients.Many of the results are not presented in their full generality. Rather, the emphasis is on clarity of exposition and simplicity of the proofs, with several being different from those in other texts on the subject. Prerequisites are kept to a minimum, and new concepts are introduced gradually and are carefully motivated. Introduction to Noncommutative Algebra is therefore accessible to a wide mathematical audience. It is, however, primarily intended for beginning graduate and advanced undergraduate students encountering noncommutative algebra for the first time.

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