Screen LibraryLinear associative algebras /
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Pergamon Press,
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| Publisher Address: | New York : |
| Publication Dates: | [1971] |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780080165646 |
| Carrier Form: | 1 online resource (vii, 166 pages) |
| ISBN: |
9781483186795 1483186792 0080165648 9780080165646 |
| Index Number: | QA251 |
| CLC: | O153.3 |
| 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. |