Results 1 to 10 of about 37 (35)

On pomonoid of partial transformations of a poset

Open Mathematics, 2023
The main objective of this article is to study the ordered partial transformations PO(X){\mathcal{PO}}\left(X) of a poset XX. The findings show that the set of all partial transformations of a poset with a pointwise order is not necessarily a pomonoid ...
Bana Al Subaiei
exaly   +2 more sources

Epimorphisms Amalgams and Po-Unitary Pomonoids

Axioms
This paper proves that the special pomonoid amalgam with a quasi po-unitary or almost po-unitary core U is strongly poembeddable. The techniques used to establish these results involve Isbell’s zigzag theorem and its descriptions in terms of the pomonoid
Bana Al Subaiei, Aftab Shāh, Al Subaiei Bana   +2 more
exaly   +3 more sources

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

Journal 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, Hossein Mohammadzadeh Saany, Leila Nouri   +2 more
doaj   +1 more source

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   +1 more source

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
doaj   +1 more source

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

Journal 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   +1 more source

On categorical aspects of S -quantales

Open Mathematics, 2018
S-quantales are characterized as injective objects in the category of S-posets with respect to certain class of homomorphisms that are order-preserving mappings. This paper is devoted to exhibitions of categorical structures on S-quantales.
Zhang Xia, Zhou Yunyan
doaj   +1 more source

A characterization of a pomonoid $S$ all of its cyclic $S$-posets are regular injective [PDF]

Categories and General Algebraic Structures with Applications, 2013
This work is devoted to give a charcaterization of a pomonoid $S$ such that all cyclic $S$-posets are regular injective.
Xia Zhang, Wenling Zhang, Ulrich Knauer
doaj  

Properties of products for flatness in the category of $S$-posets [PDF]

Categories and General Algebraic Structures with Applications, 2016
This paper is devoted to the study of products of classes of right $S$-posets possessing one of the flatness properties and preservation of such properties under products.
Roghaieh Khosravi, Mojtaba Sedaghatjoo
doaj  

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   +1 more source