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Algebra Discrete Math., 2018, Volume 26, Issue 1, Pages 76–89 (Mi adm671)  

RESEARCH ARTICLE

On regular torsionless $S$-posets

Roghaieh Khosravi

Department of Mathematics, College of Science, Fasa University, Fasa, P.O. Box 74617-81189, Iran

Abstract: This paper shall be concerned with the notion of regular torsionless in the category of $S$-posets. Besides elementary basic properties of regular torsionless $S$-posets, we consider cyclic regular torsionless $S$-posets and also study when regular torsionless property is preserved under coproducts. Then we characterize pomonoids over which all free or projective $S$-posets are regular torsionless. Finally, we present conditions on $S$ which follow if all regular torsionless $S$-posets are principally weakly po-flat, weakly po-flat, strongly flat, or projective.

Keywords: $S$-posets, pomonoids, regular torsionless, projective, flat.

Full text: PDF file (367 kB)
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MSC: Primary 06F05; Secondary 20M30
Received: 08.08.2016
Revised: 30.06.2017
Language:

Citation: Roghaieh Khosravi, “On regular torsionless $S$-posets”, Algebra Discrete Math., 26:1 (2018), 76–89

Citation in format AMSBIB
\Bibitem{Kho18}
\by Roghaieh~Khosravi
\paper On regular torsionless $S$-posets
\jour Algebra Discrete Math.
\yr 2018
\vol 26
\issue 1
\pages 76--89
\mathnet{http://mi.mathnet.ru/adm671}


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