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Introduction to noncommutative algebra

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 s...

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Autor principal: Brešar, Matej
Lenguaje:eng
Publicado: Springer 2014
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-08693-4
http://cds.cern.ch/record/1968836
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author Brešar, Matej
author_facet Brešar, Matej
author_sort Brešar, Matej
collection CERN
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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spelling cern-19688362021-04-21T20:49:39Zdoi:10.1007/978-3-319-08693-4http://cds.cern.ch/record/1968836engBrešar, MatejIntroduction to noncommutative algebraMathematical Physics and MathematicsProviding 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.Springeroai:cds.cern.ch:19688362014
spellingShingle Mathematical Physics and Mathematics
Brešar, Matej
Introduction to noncommutative algebra
title Introduction to noncommutative algebra
title_full Introduction to noncommutative algebra
title_fullStr Introduction to noncommutative algebra
title_full_unstemmed Introduction to noncommutative algebra
title_short Introduction to noncommutative algebra
title_sort introduction to noncommutative algebra
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-08693-4
http://cds.cern.ch/record/1968836
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