Semigroup Algebras

Author:   Jan Okninski
Publisher:   Taylor & Francis Inc
Volume:   138
ISBN:  

9780824783563


Pages:   376
Publication Date:   19 November 1990
Format:   Hardback
Availability:   In Print   Availability explained
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Semigroup Algebras


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Overview

Gathers and unifies the results of the theory of noncommutative semigroup rings, primarily drawing on the literature of the last 10 years, and including several new results. Okninski (Warsaw U., Poland) restricts coverage to the ring theoretical properties for which a systematic treatment is current

Full Product Details

Author:   Jan Okninski
Publisher:   Taylor & Francis Inc
Imprint:   CRC Press Inc
Volume:   138
Dimensions:   Width: 15.20cm , Height: 2.50cm , Length: 22.90cm
Weight:   0.635kg
ISBN:  

9780824783563


ISBN 10:   0824783565
Pages:   376
Publication Date:   19 November 1990
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface -- Part I. Semigroups and Their Algebras -- 1. Completely 0-Simple and Linear Semigroups -- 2. Semigroups with Finiteness Conditions -- 3. Weakly Periodic Semigroups -- 4. Semigroup Algebras: General Results and Techniques -- 5. Munn Algebras -- 6. Gradations -- Part II. Semigroup Algebras of Cancellative Semigroups -- 7. Groups of Fractions -- 8. Semigroups of Polynomial Growth -- 9. ����-Methods -- 10. Unique- {Two-Unique-Product Semigroups -- 11. Subsemigroups of Polycyclic-by-Finite Groups -- Part III. Finiteness Conditions -- 12. Noetherian Semigroup Algebras -- 13. Spectral Properties -- 14. Descending Chain Conditions -- 15. Regular Algebras -- 16. Self-Injectivity -- 17. Other Finiteness Conditions: A Survey -- Part rv. Semigroup Algebras Satisfying Polynomial Identities -- 18. Preliminaries on PI-Algebras -- 19. Semigroups Satisfying Permutational Property -- 20. PJ-Semigroup Algebras -- 21. The Radical -- 22. Prime PI-Algebras -- 23l Dimensions -- 24l Monomial Algebras -- 25l Azumaya Algebras -- Part V. Problems -- References -- Index.

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Author Information

JAN OKNINSKI is an Assistant Professor at Warsaw University, Warsaw, Poland. The author or coauthor of several papers in the areas of ring theory, semigroup rings, and semigroups, he is a member of the Polish Mathematical Society and American Mathematical Society. He received the M.Sc. (1977) and Ph.D. (1982) degrees in mathematics from Warsaw University.

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