Linear associative algebras /

Bibliographic Details
Main Author:	Abian, Alexander, 1925-
Corporate Author:	ScienceDirect (Online service)
Format:	eBook
Language:	English
Published:	New York : Pergamon Press, [1971]
Subjects:	Associative algebras. Algebras, Linear. Algèbres associatives. Algèbre linéaire. MATHEMATICS > Algebra > Intermediate. Algebras, Linear Associative algebras Assoziative Algebra Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Front Cover; Linear Associative Algebras; Copyright Page; Table of Contents; Preface; CHAPTER 1. Preliminaries; 1.1. Semigroups and Groups; 1.2. Rings and Fields; 1.3. Direct Sum and Tensor Product of Rings; 1.4. Polynomial Rings; 1.5. Matrix Rings; Exercises; CHAPTER 2. Vector Spaces; 2.1. Vector Spaces; 2.2. Finite Dimensional Vector Spaces; 2.3. Matrix Representation of Vectors; Exercises; CHAPTER 3. Linear Associative Algebras; 3.1. Linear Associative Algebras; 3.2. Idempotent and Nilpotent Elements of an Algebra; 3.3. Ideals of an Algebra; 3.4. Total Matrix Algebras and the Canonical Forms of Matrices3.5. Matrix Representation of Algebras; 3.6. Division Algebras; Exercises; CHAPTER 4. Wedderburn Structure Theorems; 4.1. Direct Sum and Tensor Product Decomposition of Algebras; 4.2. Nilpotent Algebras and the Radical of an Algebra; 4.3. Structure of Semi-Simple Algebras; 4.4. Structure of Simple Algebras; 4.5. Concluding Remarks; Bibliography; Index of Symbols; Index.