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Group and Semigroup Rings

Group and Semigroup Rings by G. Karpilovsky
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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.

Elsevier Science; September 2011
277 pages; ISBN 9780080872377
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Title: Group and Semigroup Rings
Author: G. Karpilovsky