Results 1 to 10 of about 523 (235)
The B-topology on S∗-doubly quasicontinuous posets [PDF]
Open 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
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A study on strongly convex hyper S-subposets in hyper S-posets [PDF]
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
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NETS AND SEPARATED S-POSETS [PDF]
Journal of Algebraic Systems, 2013 Nets, useful topological tools, used to generalize certainconcepts that may only be general enough in the context of metricspaces. In this work we introduce this concept in an $S$-poset, aposet with an action of a posemigroup $S$ on it whichis a very ...
Mahdieh Haddadi
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An investigation on hyper S-posets over ordered semihypergroups
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
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A complete theoretical framework for inferring horizontal gene transfers using partial order sets. [PDF]
PLoS ONE, 2023 We present a method for detecting horizontal gene transfer (HGT) using partial orders (posets). The method requires a poset for each species/gene pair, where we have a set of species S, and a set of genes G.
Nahla A Belal, Lenwood S Heath
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Axiomatisability problems for S-posets [PDF]
, 2010 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.
Victoria Gould, Lubna Shaheen
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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 +2 more
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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
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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
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Erratum to “On homological classification of pomonoids by regular weak injectivity properties of S-posets” [PDF]
Open Mathematics, 2009 Zhang Xia, Laan Valdis
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