Artinian and Noetherian Acts over Completely 0-Simple Semigroups
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.
Authors
- К. А. Колесникова
Institutions
- Lomonosov Moscow State University (RU)
- National Research University of Electronic Technology (RU)
- Moscow State University (TJ)
Publication Details
- Journal
- Moscow University Mathematics Bulletin
- Published
- 2024-10-01
- DOI
- https://doi.org/10.3103/s0027132224700323
- Citations
- 1
- Primary Topic
- semigroups and automata theory
- Type
- article
- Field-Weighted Citation Impact
- 0.36