Results 11 to 20 of about 369 (138)
Characterization of Pomonoids by Properties of I-Regular S-Posets
MathematicsIn 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
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The Category of $S$-Fuzzy Posets [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we define and consider, the category {\bf FPos}-$S$ of all $S$-fuzzy posets and action-preserving monotone maps between them. $S$-fuzzy poset congruences which play an important role in studying thecategorical properties of $S$-fuzzy ...
Leila Shahbaz
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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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Categorical Properties of Down Closed Embeddings [PDF]
Sahand Communications in Mathematical Analysis, 2022 Let $\mathcal M$ be a class of (mono)morphisms in a category $\mathcal A$. To study mathematical notions, such as injectivity, tensor products, flatness, one needs to have some categorical and algebraic information about the pair (${\mathcal A ...
Leila Shahbaz
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Examples of Pomonoids of Full Transformations of a Poset
Scientific Journal of King Faisal University: Basic and Applied Sciences, 2022 In this research, the partially ordered monoid (simple pomonoid) full transformations of a poset O(X) is studied, and some related properties are examined.
Bana Al Subaiei
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ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY [PDF]
Journal of Algebraic Systems, 2020 In this paper, we study the categorical and algebraic properties, such as limits and colimits of the category Pos-S with respect to order dense embeddings. Injectivity with respect to this class of monomorphisms has been studied by the author and used to
L. Shahbaz
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The B-topology on S∗-doubly quasicontinuous posets
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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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 +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 +1 more
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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
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