Algebras, Rings and Modules: Volume 1: 575 (Mathematics and Its Applications, 575) - Image 1

£72.77

Springer Algebras, Rings and Modules: Volume 1: 575 (Mathematics and Its Applications, 575)

Name: Algebras, Rings and Modules: Volume 1: 575 (Mathematics and Its Applications, 575)
Brand: Springer
Price: 75.68 GBP
Availability: InStock

Algebra

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Accosiative rings and algebras are very interesting algebraic structures. In a strict sense, the theory of algebras (in particular, noncommutative algebras) originated fromasingleexample,namelythequaternions,createdbySirWilliamR.Hamilton in1843. Thiswasthe?rstexampleofanoncommutative"numbersystem". During thenextfortyyearsmathematiciansintroducedotherexamplesofnoncommutative algebras, began to bring some order into them and to single out certain types of algebras for special attention. Thus, low-dimensional algebras, division algebras, and commutative algebras, were classi?ed and characterized. The ?rst complete results in the structure theory of associative algebras over the real and complex ?elds were obtained by T.Molien, E.Cartan and G.Frobenius. Modern ring theory began when J.H.Wedderburn proved his celebrated cl- si?cation theorem for ?nite dimensional semisimple algebras over arbitrary ?elds. Twenty years later, E.Artin proved a structure theorem for rings satisfying both the ascending and descending chain condition which generalized Wedderburn structure theorem. The Wedderburn-Artin theorem has since become a corn- stone of noncommutative ring theory. The purpose of this book is to introduce the subject of the structure theory of associative rings. This book is addressed to a reader who wishes to learn this topic from the beginning to research level. We have tried to write a self-contained book which is intended to be a modern textbook on the structure theory of associative rings and related structures and will be accessible for independent study.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 9048167043
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 29 January 2011
Listed Since: 20 September 2010

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Springer Algebras, Rings and Modules: Volume 1: 575 (Mathematics and Its Applications, 575)

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