NORMALIZERS AND FREE GROUPS IN THE UNIT GROUP OF AN INTEGRAL SEMIGROUP RING

DOI10.1142/S0219498807002429zbMath1151.16032MaRDI QIDQ3502763

Paula M. Veloso, Ann Dooms

Publication date: 20 May 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

free subgroupsnormalizersunit groupsnormalizer problembicyclic unitscenter of unit groupscontracted integral semigroup ringsfinite Brandt semigroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Ordinary and skew polynomial rings and semigroup rings (16S36) Free nonabelian groups (20E05) Semigroup rings, multiplicative semigroups of rings (20M25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

Recent developments around partial actions

Cites Work

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• Nilpotent semigroups and semigroup algebras
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• ISOMORPHISMS OF PARTIAL GROUP RINGS Research partially supported by CNPq Procs. 30111595-8 and 30024379-0 and FAPESP Proc. 00/07291-0.
• Subsemigroups of nilpotent groups
• A counterexample to the isomorphism problem for integral group rings
• On the normalizer problem.

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