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＜電子ブック＞
Introduction to Noncommutative Algebra / by Matej Brešar
(Universitext. ISSN:21916675)

版	1st ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	XXXVII, 199 p : online resource
著者標目	*Brešar, Matej author SpringerLink (Online service)
件　名	LCSH:Associative rings LCSH:Associative algebras FREE:Associative Rings and Algebras
一般注記	Finite Dimensional Division Algebras -- Structure of Finite Dimensional Algebras -- Modules and Vector Spaces -- Tensor Products -- Structure of Rings -- Noncommutative Polynomials -- Rings of Quotients and Structure of PI-Rings 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 HTTP:URL=https://doi.org/10.1007/978-3-319-08693-4

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