On regular torsionless S-posets

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• Main Author: Khosravi, R.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188375
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On regular torsionless S-posets / R. Khosravi // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 76–89. — Бібліогр.: 11 назв. — англ.

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...