Introduction to Noncommutative Algebra

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Introduction to Noncommutative Algebra by Matej Brešar, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Matej Brešar ISBN: 9783319086934
Publisher: Springer International Publishing Publication: October 14, 2014
Imprint: Springer Language: English
Author: Matej Brešar
ISBN: 9783319086934
Publisher: Springer International Publishing
Publication: October 14, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Integrative Production Technology by Matej Brešar
Cover of the book Geology of National Parks of Central/Southern Kenya and Northern Tanzania by Matej Brešar
Cover of the book Aerial Manipulation by Matej Brešar
Cover of the book Software Engineering and Formal Methods by Matej Brešar
Cover of the book City Making and Global Labor Regimes by Matej Brešar
Cover of the book Alternating Electric Fields Therapy in Oncology by Matej Brešar
Cover of the book Inside PixInsight by Matej Brešar
Cover of the book Global Bioethics: The Impact of the UNESCO International Bioethics Committee by Matej Brešar
Cover of the book Advances in NMR Spectroscopy for Lipid Oxidation Assessment by Matej Brešar
Cover of the book Robust Optimization of Spline Models and Complex Regulatory Networks by Matej Brešar
Cover of the book Sertoli Cell Metabolism and Spermatogenesis by Matej Brešar
Cover of the book Fault Diagnosis and Fault-Tolerant Control Strategies for Non-Linear Systems by Matej Brešar
Cover of the book Recent Advances in Geotechnical Research by Matej Brešar
Cover of the book Values and Behavior by Matej Brešar
Cover of the book Coherent Vortex Structures in Fluids and Plasmas by Matej Brešar
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy