UID:
almahu_9947367766102882
Umfang:
1 online resource (277 p.)
ISBN:
1-281-79782-0
,
9786611797829
,
0-08-087237-9
Serie:
North-Holland mathematics studies ; 126
Inhalt:
A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group rings, inverse semigroup algebras and the Picard group of an abelian group ring. The survey lectures provide an up-to-date account of the current state of the subject and form a comprehensive introduction for intending researchers.
Anmerkung:
Description based upon print version of record.
,
Front Cover; Group and Semigroup Rings; Copyright Page; List of Contents; Chapter 1. Fundamental groups of elliptic curves internal to locally ringed spaces; Chapter 2. Property E in commutative monoid rings; Chapter 3. Conditions concerning prime and maximal ideals of commutative monoid rings; Chapter 4. Commutative monoid rings with finite maximal or prime spectrum; Chapter 5. The group of units of a commutative semigroup ring of a torsion-free semigroup; Chapter 6. A description of the Jacobson radical of semigroup rings of commutative semigroups
,
Chapter 7. Blocks and vertices of twisted group algebrasChapter 8. Defect groups of blocks of twisted group algebras; Chapter 9. Extending indecomposable modules over twisted group algebras; Chapter 10. Blocks of modular group algebras; Chapter 11. On the Picard group of an abelian group ring; Chapter 12. Lie metabelian group rings; Chapter 13. Unit groups and isomorphism theorems for commuta-tive group algebras; Chapter 14. Torsion units in group rings and a conjecture of H . J . Zassenhaus; Chapter 15. On the nilpotency index of the radical of a group algebra IX
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Chapter 16. Inverse semigroup algebrasChapter 17. Sections and irreducible modules; Chapter 18. Noetherian semigroup rings with several objects; Chapter 19. A conjecture relating to the isomorphism problem for commutative group algebras; Chapter 20. Rings graded by a semilattice - Applications to semigroup rings
,
English
Weitere Ausg.:
ISBN 0-444-70043-9
Sprache:
Englisch
