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.
Author(s): Gregory Karpilovsky (Eds.)
Series: North-Holland Mathematics Studies 126
Publisher: Elsevier Science Ltd
Year: 1986
Language: English
Pages: ii-viii, 1-267
Content:
Editor
Page ii
Edited by
Page iii
Copyright page
Page iv
Preface
Page v
G. Karpilovsky
Acknowledgements
Page vi
List of Registered Participants
Page viii
Fundamental Groups of Elliptic Curves Internal to Locally Ringed Spaces Original Research Article
Pages 1-11
Paul Cherenack
Property E in Commutative Monoid Rings Original Research Article
Pages 13-18
Robert Gilmer
Conditions Concerning Prime and Maximal Ideals of Commutative Monoid Rings Original Research Article
Pages 19-26
Robert Gilmer
Commutative Monoid Rings With Finite Maximal or Prime Spectrum Original Research Article
Pages 27-34
Robert Gilmer
The Group of Units of A Commutative Semigroup Ring of A Torsion-Free Semigroup Original Research Article
Pages 35-41
Eric Jespers
A Description of the Jacobsen Radical of Semigroup Rings of Commutative Semigroups Original Research Article
Pages 43-89
E. Jespers, P. Wauters
Blocks and Vertices of Twisted Group Algebras Original Research Article
Pages 91-97
G. Karpilovsky
Defect Groups of Blocks of Twisted Group Algebras Original Research Article
Pages 99-108
G. Karpilovsky
Extending Indecomposable Modules Over Twisted Group Algebras Original Research Article
Pages 109-116
G. Karpilovsky
Blocks of Modular Group Algebras Original Research Article
Pages 117-137
Burkhard Külshammer
On The Picard Group of An Abelian Group Ring Original Research Article
Pages 139-151
David Lantz
Lie Metabelian Group Rings Original Research Article
Pages 153-161
F. Levin(Bochum), G. Rosenberger(Dortmund)
Unit Groups and Isomorphism Theorems For Commutative Group Algebras Original Research Article
Pages 163-178
Warren May
Torsion Units in Group Rings and A Conjecture of H.J. Zassenhaus Original Research Article
Pages 179-192
C. Polcino Milies
On the Nilpotency Index of The Radical of A Group Algebra IX Original Research Article
Pages 193-196
Kaoru Motose
Inverse Semigroup Algebras Original Research Article
Pages 197-223
W.D. Munn
Sections and Irreducible Modules Original Research Article
Pages 225-229
M.F. O'Reilly
Noetherian Semigroup Rings with Several Objects Original Research Article
Pages 231-246
Günther Richter
A Conjecture Relating to the Isomorphism Problem for Commutative Group Algebras Original Research Article
Pages 247-252
William Ullery
Rings Graded by A Semilattice - Applications to Semigroup Rings Original Research Article
Pages 253-267
P. Wauters
