A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS | ||
| Journal of Algebraic Systems | ||
| مقاله 4، دوره 8، شماره 1، آذر 2020، صفحه 27-37 اصل مقاله (155.87 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2019.8295.1403 | ||
| نویسندگان | ||
| R. Khosravi* 1؛ M. Roueentan2 | ||
| 1Department of Mathematics, Faculty of Sciences, Fasa University, P.O. Box: 74617- 81189, Fasa, Iran. | ||
| 2Lamerd Higher Education Center, Lamerd, Iran. | ||
| چکیده | ||
| In this paper, we investigate po-purity using finitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure. We also introduce strongly finitely presented S-posets to characterize absolutely pure S-posets. Similar to the acts, every finitely presented cyclic S-posets is isomorphic to a factor S-poset of a pomonoid S by a finitely generated right congruence on S. Finally, the relationships between regular injectivity and absolute po-purity are considered. | ||
| کلیدواژهها | ||
| S-posets؛ pomonoids؛ absolutely po-pure؛ 1-po-pure؛ regular injective | ||
| مراجع | ||
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