Results 11 to 20 of about 369 (138)

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

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   +4 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   +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

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   +3 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

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

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

On homological classification of pomonoids by regular weak injectivity properties of S-posets

Open Mathematics, 2007
Abstract If S is a partially ordered monoid then a right S-poset is a poset A on which S acts from the right in such a way that the action is compatible both with the order of S and A. By regular weak injectivity properties we mean injectivity properties with respect to all regular monomorphisms (not all monomorphisms) from different ...
Zhang Xia, Laan Valdis
doaj   +2 more sources