Results 1 to 10 of about 369 (138)

A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS [PDF]

open access: yesJournal of Algebraic Systems, 2020
In this paper, we investigate po-purity using finitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure.
R. Khosravi, M. Roueentan
doaj   +19 more sources

NETS AND SEPARATED S-POSETS [PDF]

open access: yesJournal 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
doaj   +4 more sources

On Rees Factor $\mathbf{S}$-Posets Satisfying Conditions $\mathbf{(PWP_{E})}$ or $\mathbf{(PWP_E)_{w}}$ [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
Golchin and Rezaei introduced conditions $(PWP)$ and\linebreak $(PWP)_{w}$ in (Subpullbacks and flatness properties of $S$-posets). In this paper, we introduce conditions $(PWP_{E})$ and $(PWP_{E})_{w}$ as generalizations of  these conditions ...
Zohre Khaki   +2 more
doaj   +2 more sources

A complete theoretical framework for inferring horizontal gene transfers using partial order sets. [PDF]

open access: yesPLoS 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.
Belal NA, Heath LS.
europepmc   +2 more sources

The Category of $S$-Fuzzy Posets [PDF]

open access: yesSahand 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
doaj   +1 more source

Examples of Pomonoids of Full Transformations of a Poset

open access: yesScientific 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
doaj   +1 more source

ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY [PDF]

open access: yesJournal 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
doaj   +1 more source

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

Categorical Properties of Down Closed Embeddings [PDF]

open access: yesSahand 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
doaj   +1 more source

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