From Rings and Modules to Hopf Algebras: One Flew Over the Algebraist's Nest free ebook download.

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From Rings and Modules to Hopf Algebras: One Flew Over the Algebraist's Nest free ebook download

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Author(s):	Michel Broue

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	303150061X
Pages:	543	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	2/7/2024 4:19:39 PM

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303150061X pdf
This textbook provides an introduction to fundamental concepts of algebra at upper undergraduate to graduate level, covering the theory of rings, fields and modules, as well as the representation theory of finite groups.
Throughout the book, the exposition relies on universal constructions, making systematic use of quotients and category theory  whose language is introduced in the first chapter. The book is divided into four parts. Parts I and II cover foundations of rings and modules, field theory and generalities on finite group representations, insisting on rings of polynomials and their ideals. Part III culminates in the structure theory of finitely generated modules over Dedekind domains and its applications to abelian groups, linear maps, and foundations of algebraic number theory. Part IV is an extensive study of linear representations of finite groups over fields of characteristic zero, including graded representations and graded characters as well as a final chapter on the DrinfeldLusztig double of a group algebra, appearing for the first time in a textbook at this level.
Based on over twenty years of teaching various aspects of algebra, mainly at the cole Normale Suprieure (Paris) and at Peking University, the book reflects the audiences of the author's courses. In particular, foundations of abstract algebra, like linear algebra and elementary group theory, are assumed of the reader. Each of the of four parts can be used for a course  with a little

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3232762	Book	https://nitroflare.com/view/F9BD8F9A8ACF...		0.00	alex21s

Tags: Algebraist Algebras Flew Hopf Modules Nest Rings

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