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eBook Associative Algebras (Graduate Texts in Mathematics) ePub

eBook Associative Algebras (Graduate Texts in Mathematics) ePub

by R.S. Pierce

  • ISBN: 0387906932
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: R.S. Pierce
  • Language: English
  • Publisher: Springer; 1982 edition (October 18, 1982)
  • Pages: 436
  • ePub book: 1335 kb
  • Fb2 book: 1214 kb
  • Other: mbr rtf lit mobi
  • Rating: 4.7
  • Votes: 164

Description

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag.

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The GTM series is easily identified by a white band at the top of the book.

Associative Algebras (Gr. .has been added to your Cart. Series: Graduate Texts in Mathematics (Book 88).

Graduate Texts in Mathematics. Associative Algebras. The objects of our attention in this book are associative algebras, mostly the ones that are finite dimensional over a field. The major theorems on associative algebras inc1ude some of the most splendid results of the great heros of algebra: Wedderbum, Artin, Noether, Hasse, Brauer, Albert, Jacobson, and many others.

Semantic Scholar extracted view of "ASSOCIATIVE ALGEBRAS(Graduate Texts in Mathematics, 88)" by Irving Reiner. Applicable Algebra in Engineering, Communication and Computing. Trivial Schur indices for noncommutative reality-based algebras with exactly two nonreal basis elements.

Graduate Texts in Mathematics (GTM) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. This particular series is easily identified by a white band at the top of the book. Book · January 2001 with 72 Reads. How we measure 'reads'. Numerous exercises are also included. This graduate textbook on rings, fields and algebras is intended for graduate students in mathematics.

Noncommutative Algebra (Graduate Texts in Mathematics). Graph Theory (Graduate Texts in Mathematics). Lectures on Polytopes (Graduate Texts in Mathematics). Abstract Algebra (Graduate Texts in Mathematics).

This is a very nice introduction to the theory of semisimple modules and rings, central simple algebras, and the Brauer group. Indeed, a lot of the material is developed in the exercises so it is very useful to go through them. Most of the exercises aren't exceedingly difficult either, and hints are provided for the more tricky ones. Chapter one gets the ball rolling with the theory of simple modules and rings

Associative Algebras. Categories: Mathematics. ISBN 13: 9780387906935. Series: Graduate Texts in Mathematics.

Associative Algebras.

For many people there is life after 40; for some mathematicians there is algebra after Galois theory. The objective ofthis book is to prove the latter thesis. It is written primarily for students who have assimilated substantial portions of a standard first year graduate algebra textbook, and who have enjoyed the experience. The material that is presented here should not be fatal if it is swallowed by persons who are not members of that group. The objects of our attention in this book are associative algebras, mostly the ones that are finite dimensional over a field. This subject is ideal for a textbook that will lead graduate students into a specialized field of research. The major theorems on associative algebras inc1ude some of the most splendid results of the great heros of algebra: Wedderbum, Artin, Noether, Hasse, Brauer, Albert, Jacobson, and many others. The process of refine­ ment and c1arification has brought the proof of the gems in this subject to a level that can be appreciated by students with only modest background. The subject is almost unique in the wide range of contacts that it makes with other parts of mathematics. The study of associative algebras con­ tributes to and draws from such topics as group theory, commutative ring theory, field theory, algebraic number theory, algebraic geometry, homo­ logical algebra, and category theory. It even has some ties with parts of applied mathematics.