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Linear associative algebras

Author: Alexander Abian
Publisher: New York : Pergamon Press, [1971]
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Abian, Alexander, 1925-
Linear associative algebras.
New York, Pergamon Press [1971]
(DLC) 74130799
(OCoLC)226791
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander Abian
ISBN: 9781483186795 1483186792 0080165648 9780080165646
OCLC Number: 898771919
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (vii, 166 pages)
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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.
Responsibility: Alexander Abian.

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