On regular torsionless S-posets

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dc.contributor.authorKhosravi, R.
dc.date.accessioned2023-02-26T12:24:48Z
dc.date.available2023-02-26T12:24:48Z
dc.date.issued2018
dc.description.abstractThis 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.uk_UA
dc.description.sponsorshipThe author wish to express their appreciation to the anonymous referees for their constructive comments improving the paper. She would also like to acknowledge Professor V. Lyubashenko for providing the communications.uk_UA
dc.identifier.citationOn regular torsionless S-posets / R. Khosravi // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 76–89. — Бібліогр.: 11 назв. — англ.uk_UA
dc.identifier.issn1726-3255
dc.identifier.other2010 MSC: Primary 06F05; Secondary 20M30.
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/188375
dc.language.isoenuk_UA
dc.publisherІнститут прикладної математики і механіки НАН Україниuk_UA
dc.relation.ispartofAlgebra and Discrete Mathematics
dc.statuspublished earlieruk_UA
dc.titleOn regular torsionless S-posetsuk_UA
dc.typeArticleuk_UA

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Algebra and Discrete Mathematics, 2018, Vol. 26, № 1