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Titlebook: Introduction to Noncommutative Algebra; Matej Bre?ar Textbook 2014 Springer International Publishing Switzerland 2014 Division Ring.Module

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書(shū)目名稱Introduction to Noncommutative Algebra
編輯Matej Bre?ar
視頻videohttp://file.papertrans.cn/474/473959/473959.mp4
概述Provides an easy-to-read introduction to noncommutative rings and algebras.Makes the theory, usually treated in more advanced texts, accessible to undergraduate students.Presents new proofs of some cl
叢書(shū)名稱Universitext
圖書(shū)封面Titlebook: Introduction to Noncommutative Algebra;  Matej Bre?ar Textbook 2014 Springer International Publishing Switzerland 2014 Division Ring.Module
描述.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..
出版日期Textbook 2014
關(guān)鍵詞Division Ring; Module; Noncommutative Rings and Algebras; Polynomial Identity; Prime Ring; Primitive Ring
版次1
doihttps://doi.org/10.1007/978-3-319-08693-4
isbn_softcover978-3-319-08692-7
isbn_ebook978-3-319-08693-4Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer International Publishing Switzerland 2014
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Modules and Vector Spaces,e theory are symbiotic. Many questions about rings can be handled most effectively by using modules. Moreover, sometimes modules seem to be inevitable. In spite of that, we have decided to postpone introducing modules up until now.
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