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

Goffa, Isabel; Jespers, Eric; Okninski, Jan

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

Authors

Goffa, Isabel

Jespers, Eric

Okninski, Jan

Description

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.
8 pages, 0 figures, submitted