Introduction to Noncommutative Algebra

• Main Author: Brešar, Matej (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Universitext,
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Associative Rings and Algebras.

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...

Table of Contents:

• Finite Dimensional Division Algebras
• Structure of Finite Dimensional Algebras
• Modules and Vector Spaces
• Tensor Products
• Structure of Rings
• Noncommutative Polynomials
• Rings of Quotients and Structure of PI-Rings.