Results 11 to 20 of about 37 (35)

On (po-)torsion free and principally weakly (po-)flat $S$-posets [PDF]

Categories and General Algebraic Structures with Applications, 2018
In this paper, we first consider (po-)torsion free and principally weakly (po-)flat $S$-posets, specifically  we discuss when (po-)torsion freeness implies principal weak (po-)flatness.
Roghaieh Khosravi, Xingliang Liang
doaj  

Directed colimits of some flatness properties and purity of epimorphisms in S-posets

Open Mathematics, 2018
Let S be a pomonoid. In this paper, we introduce some new types of epimorphisms with certain purity conditions, and obtain equivalent descriptions of various flatness properties of S-posets, such as strong flatness, Conditions (E), (E′), (P), (Pw), (WP),
Liang Xingliang, Khosravi Roghaieh
doaj   +1 more source

Subpullbacks and Po-flatness Properties of S-posets [PDF]

Journal of Sciences, Islamic Republic of Iran, 2014
In (Golchin A. and Rezaei P., Subpullbacks and flatness properties of S-posets. Comm. Algebra. 37: 1995-2007 (2009)) study was initiated of flatness properties of right -posets  over a pomonoid  that can be described by surjectivity of  corresponding to ...
A. Golchin, L. Nouri
doaj  

Order dense injectivity of $S$-posets [PDF]

Categories and General Algebraic Structures with Applications, 2015
‎‎‎In this paper‎, ‎the‎ notion of injectivity with respect to order dense embeddings in ‎‎the category of $S$-posets‎, ‎posets with a monotone action of a‎ pomonoid $S$ on them‎, ‎is studied‎.
Leila Shahbaz
doaj  

Characterization of Pomonoids by Properties of I-Regular S-Posets

Mathematics
In 2005, Shi defined I-regular S-posets and used this concept to characterize PP-pomonoids and po-cancellable pomonoids. In this paper, we continued the development of the homological classification of pomonoids by using the I-regularity of S-posets ...
Tingting Zhao
doaj   +1 more source

On a generalization of I-regularity

Open Mathematics
Let SS be a pomonoid. The projectivity and strong flatness of right SS-posets have been central topics in the homological classification of pomonoids in recent decades. In 2005, Shi et al. introduced II-regular SS-posets and proved that all its cyclic SS-
Qiao Husheng, Feng Leting
doaj   +1 more source

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On subamalgams of partially ordered monoids

Semigroup Forum, 2022
Bana Al Subaiei, James Renshaw, Al Subaiei Bana   +2 more
exaly  

Every BCK-algebra is a set of residuables in an integral pomonoid

Journal of Algebra, 1988
Isidore Fleischer
exaly  

On unitary down-closed regular monomorphisms of pomonoid actions

Quaestiones Mathematicae, 2018
Ali Madanshekaf
exaly