Semigroup Algebras First Edition by Jan Okninski ISBN 1003066526 9781003066521
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Product details:
ISBN 10: 1003066526
ISBN 13: 9781003066521
Author: Jan Okninski
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
Table of contents:
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
5. Munn Algebras
6. Gradations
Part II Semigroup Algebras of Cancellative Semigroups
7. Groups of Fractions
8. Semigroups of Polynomial Growth
9. Δ-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-lnjectivity
17. Other Finiteness Conditions: A Survey
Part IV Semigroup Algebras Satisfying Polynomial Identities
18. Preliminaries on PI-Algebras
19. Semigroups Satisfying Permutational Property
20. PI-Semigroup Algebras
21. The Radical
22. Prime PI-Algebras
23. Dimensions
24. Monomial Algebras
25. Azumaya Algebras
Part V Problems
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Tags: Jan Okninski, Semigroup, Algebras