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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141279Necessary 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, submittedRings and Algebras16P50,16H05Semigroup algebras of submonoids of polycyclic-by-finite groups and maximal orderstext