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

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Khosravi Roghaieh; ROUEENTAN MOHAMMAD

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Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2020 | Volume:8 | Issue:1 Page(s): 27-37

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Information Journal Paper

Title

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

Author(s)

Khosravi Roghaieh | ROUEENTAN MOHAMMAD | Issue Writer Certificate

Keywords

S-posets

pomonoids

absolutely po-pure

1-po-pure

regular injective

Abstract

In this paper, we investigate po-purity using ﬁ nitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure. We also introduce strongly ﬁ nitely 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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APA: Copy

Khosravi, Roghaieh, & ROUEENTAN, MOHAMMAD. (2020). A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS. JOURNAL OF ALGEBRAIC SYSTEMS, 8(1 ), 27-37. SID. https://sid.ir/paper/404326/en

Vancouver: Copy

Khosravi Roghaieh, ROUEENTAN MOHAMMAD. A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2020;8(1 ):27-37. Available from: https://sid.ir/paper/404326/en

IEEE: Copy

Roghaieh Khosravi, and MOHAMMAD ROUEENTAN, “A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 8, no. 1 , pp. 27–37, 2020, [Online]. Available: https://sid.ir/paper/404326/en

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