Results 11 to 20 of about 467 (189)

ON REGULAR PRIME INJECTIVITY OF S-POSETS [PDF]

open access: yesJournal 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   +2 more
doaj   +12 more sources

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

open access: yesOpen 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

Axiomatisability problems for S-posets [PDF]

open access: yesSemigroup Forum, 2009
Let C be a class of algebras of a given fixed type t. Associated with the type is a first order language L_t. One can then ask the question, when is the class C axiomatisable by sentences of L_t.
Gould, Victoria, Shaheen, Lubna
core   +5 more sources

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

open access: yesOpen 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]

open access: yesJournal 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

open access: yesMathematics
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

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

open access: yesOpen 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 access: yesOpen 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   +2 more
doaj   +2 more sources

The B-topology on S∗-doubly quasicontinuous posets

open access: yesOpen Mathematics, 2021
The notions of os{o}_{s}-convergence and S∗{S}^{\ast }-doubly quasicontinuous posets are introduced, which can be viewed as common generalizations of Birkhoff’s order-convergence and S∗{S}^{\ast }-doubly continuous posets, respectively. We first consider
Sun Tao, Li Qingguo, Zou Zhiwei
doaj   +1 more source

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

open access: yesНауковий 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   +2 more
doaj   +1 more source

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