Semigroup algebras of submonoids of polycyclic-by-finite groups and maximal orders

Details Semigroup algebras of submonoids of polycyclic-by-finite groups and maximal orders Semigroup algebras of submonoids of polycyclic-by-finite groups and maximal orders

2007-10-19

arxiv.org/abs/0710.3674v2

Mathematics

Rings and Algebras

8 pages, 0 figures, submitted

Scientific paper

Necessary and sufficient conditions are given for a prime Noetherian algebra
K[S] of a submonoid S of a polycyclic-by-finite group G to be a maximal order.
These conditions are entirely in terms of the monoid S. This extends earlier
results of Brown concerned with the group ring case and of the authors for the
case where K[S] satisfies a polynomial identity.

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