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On regular torsionless S-posets
Репозиторій DSpace/Manakin
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On regular torsionless S-posets
Інший ID:
2010 MSC: Primary 06F05; Secondary 20M30.
Посилання:
On regular torsionless S-posets / R. Khosravi // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 76–89. — Бібліогр.: 11 назв. — англ.
Підтримка:
The 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.
Дата:
2018
Переглядів:
172
Завантажень:
65
Анотація:
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.
