Results 1 to 10 of about 73 (42)

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.
Xingliang Liang, Yanfeng Luo
exaly   +4 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
exaly   +4 more sources

Characterization of Pomonoids by Properties of I-Regular S-Posets

Mathematics
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
exaly   +4 more sources

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   +5 more sources

Erratum to “On homological classification of pomonoids by regular weak injectivity properties of S-posets”

Open Mathematics, 2009
In order to follow the contents of this paper one has to know in detail the concepts and results published by \textit{S. Bulman-Fleming}, \textit{D. Gutermuth}, \textit{A. Gilmour} and \textit{M. Kilp} [Commun. Algebra 34, No. 4, 1291--1317 (2006; Zbl 1095.20046)]. In the paper under review, several new concepts for partially ordered (p.o.) monoids are
Valdis Laan
exaly   +6 more sources

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 ...
Al Subaiei Bana
doaj   +2 more sources

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   +2 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

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

Right dc-Noetherian $S$-posets [PDF]

Journal of Mahani Mathematical Research
In the present paper, the right dc-Noetherianity for $S$-posets is defined and studied. Some fundamental properties of right dc-Noetherian $S$-posets are presented, and the relation of right dc-Noetherian $S$-posets with sub $S$-posets, factor $S$-posets,
Leila shahbaz
doaj   +1 more source