Results 11 to 20 of about 402 (157)

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

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   +21 more sources

ON REGULAR PRIME INJECTIVITY OF S-POSETS [PDF]

Journal of Algebraic Systems, 2021
In this paper, we define the notion of regular prime monomorphism for $S$-posets over a pomonoid $S$ and investigate some categorical properties including products, coproducts and pullbacks.
H. Rasouli, Gh. R. Moghaddasi, N. Sarvghad   +2 more
doaj   +12 more sources

An investigation on hyper S-posets over ordered semihypergroups [PDF]

Open Mathematics, 2017
In this paper, we define and study the hyper S-posets over an ordered semihypergroup in detail. We introduce the hyper version of a pseudoorder in a hyper S-poset, and give some related properties.
Tang Jian, Davvaz Bijan, Xie Xiang-Yun
doaj   +4 more sources

A study on strongly convex hyper S-subposets in hyper S-posets

Open Mathematics, 2020
In this paper, we study various strongly convex hyper S-subposets of hyper S-posets in detail. To begin with, we consider the decomposition of hyper S-posets.
Tang Jian, Xie Xiang-Yun, Davvaz Bijan
doaj   +3 more sources

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   +2 more sources

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   +2 more sources

On homological classification of pomonoids by GP-po-flatness of S-posets

Open Mathematics, 2016
In this paper, we introduce GP-po-flatness property of S-posets over a pomonoid S, which lies strictly between principal weak po-flatness and po-torsion freeness.
Liang Xingliang, Feng Xinyang, Luo Yanfeng   +2 more
doaj   +2 more sources

The coefficients of transitivity of the posets of MM-type being the highest supercritical poset

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
The representations of partially ordered sets (abbreviated as posets), introduced by L. A. Nazarova and A. V. Roiter (in matrix form) in 1972, play an important role in the modern representation theory. In his first paper on this topic M. M.
В. М. Бондаренко, М. В. Стойка, М. В. Стьопочкіна   +2 more
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An extension of Tamari lattices [PDF]

Discrete Mathematics & Theoretical Computer Science, 2015
For any finite path $v$ on the square lattice consisting of north and east unit steps, we construct a poset Tam$(v)$ that consists of all the paths lying weakly above $v$ with the same endpoints as $v$.
Louis-François Préville-Ratelle, Xavier Viennot   +1 more
doaj   +1 more source

COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS [PDF]

Journal of Algebraic Systems, 2015
In this paper we study the notions of cogenerator and subdirectlyirreducible in the category of S-poset. First we give somenecessary and sufficient conditions for a cogenerator $S$-posets.Then we see that under some conditions, regular injectivityimplies
Gholamreza Moghaddasi
doaj   +1 more source