ON HOMOLOGICAL CLASSIFICATION OF MONOIDS BY CONDITION (PWPsc) OF RIGHT ACTS | ||
| Journal of Algebraic Systems | ||
| دوره 10، شماره 2، فروردین 2023، صفحه 259-283 اصل مقاله (218.88 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.11070.1548 | ||
| نویسندگان | ||
| Hossein Mohammadzadeh Saany* ؛ Leila Nouri | ||
| Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran | ||
| چکیده | ||
| In this paper, we introduce Condition (PWPsc) as a generalization of Condition (PWP_E) of acts over monoids, and we observe that Condition (PWPsc) does not imply Condition (PWP_E). In general, we show that Condition (PWPsc) implies the property of being principally weakly flat, and that in left PSF monoids, the converse of this implication is also true. Moreover, we present some general properties and a homological classification of monoids by comparing Condition (PWPsc) with some other properties. Finally, we describe left PSF monoids for which S^I_S satisfies Condition (PWPsc) for any nonempty set I. | ||
| کلیدواژهها | ||
| S-act؛ Condition (PWPsc)؛ Flatness | ||
| مراجع | ||
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