Results 1 to 10 of about 160 (71)

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, Yan-Feng 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
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
doaj   +3 more sources

Unitary posets and amalgamations of pomonoids [PDF]

Semigroup Forum, 2014
In 1927, Schreier proved that amalgams of groups are always embeddable in the category of groups. However, this is not true in the category of semigroups, as shown by Kimura.
Al Subaiei, Bana
core   +11 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

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   +5 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

Rees coextensions of finite tomonoids and free pomonoids [PDF]

Semigroup Forum, 2018
A totally ordered monoid, or tomonoid for short, is a monoid endowed with a compatible total order. We reconsider in this paper the problem of describing the one-element Rees coextensions of a finite, negative tomonoid S, that is, those tomonoids that ...
Petrik, Milan, Vetterlein, Thomas
core   +5 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 the homological classification of pomonoids: atomic posemilattices [PDF]

Acta et Commentationes Universitatis Tartuensis de Mathematica, 2013
Between dierent and relatively well investigated so-called flatness properties of S-posets there is a property called property (Pw) which, so far, has not received much attention.
Kilp, Mati
core   +3 more sources