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Semigroup Algebras of Submonoids of Polycyclic-by-Finite Groups and Maximal Orders

✍ Scribed by Isabel Goffa; Eric Jespers; Jan Okniński


Book ID
106341809
Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
250 KB
Volume
12
Category
Article
ISSN
1386-923X

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a generalized 2-cocycle, i.e., not necessarily taking its values in the units of R, and consider the generalized twisted group ring R) G. In ␣ this paper we derive criteria for R) G to be a graded maximal R-order, resp. a ␣ Ž . hereditary R-order or a maximal R-order in K ) G .

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✍ P. Wauters 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 90 KB

Let G be a polycyclic-by-finite group such that ⌬ G is torsion-free abelian and K a field. Denote by S a multiplicatively closed set of non-zero central elements of w x K G ; if K is an absolute field assume that S contains an element not in K. Our w x main result is when the localization K G is a p