Artinian and Noetherian Acts over Completely 0-Simple Semigroups
K. A. Kolesnikova · Moscow University Mathematics Bulletin · 2024
Abstract Necessary and sufficient conditions for an act over a completely 0-simple semigroup to be Artinian and Noetherian are obtained. It is demonstrated that the direct product of Artinian and Noetherian acts, generally speaking, is not Artinian and Noetherian.