A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS
Publish place: Journal of Algebraic Systems، Vol: 8، Issue: 1
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-8-1_004
تاریخ نمایه سازی: 5 شهریور 1399
Abstract:
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.
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Authors
R. Khosravi
Department of Mathematics, Faculty of Sciences, Fasa University, P.O. Box: ۷۴۶۱۷- ۸۱۱۸۹, Fasa, Iran.
M. Roueentan
Lamerd Higher Education Center, Lamerd, Iran.