A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS

A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS

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 cy...

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Bibliographic Details
Main Authors: R. Khosravi, M. Roueentan
Format: Article
Language:English
Published: Shahrood University of Technology 2020-09-01
Series:Journal of Algebraic Systems
Subjects:
s-posets
pomonoids
absolutely po-pure
1-po-pure
regular injective
Online Access:http://jas.shahroodut.ac.ir/article_1764_19902decb3c6a41c0cbf3f4368d348d7.pdf
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spelling doaj-92b7869f3c774ecab97778bf158db5e32021-02-09T06:50:25ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2020-09-0181273710.22044/jas.2019.8295.14031764A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETSR. Khosravi0M. Roueentan1Department of Mathematics, Faculty of Sciences, Fasa University, P.O. Box: 74617- 81189, Fasa, Iran.Lamerd Higher Education Center, Lamerd, Iran.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.http://jas.shahroodut.ac.ir/article_1764_19902decb3c6a41c0cbf3f4368d348d7.pdfs-posetspomonoidsabsolutely po-pure1-po-pureregular injective
collection DOAJ
language English
format Article
sources DOAJ
author R. Khosravi
M. Roueentan
spellingShingle R. Khosravi
M. Roueentan
A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS
Journal of Algebraic Systems
s-posets
pomonoids
absolutely po-pure
1-po-pure
regular injective
author_facet R. Khosravi
M. Roueentan
author_sort R. Khosravi
title A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS
title_short A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS
title_full A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS
title_fullStr A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS
title_full_unstemmed A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS
title_sort new characterization of absolutely po-pure and absolutely pure s-posets
publisher Shahrood University of Technology
series Journal of Algebraic Systems
issn 2345-5128
2345-511X
publishDate 2020-09-01
description 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.
topic s-posets
pomonoids
absolutely po-pure
1-po-pure
regular injective
url http://jas.shahroodut.ac.ir/article_1764_19902decb3c6a41c0cbf3f4368d348d7.pdf
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