Results 1 to 10 of about 99 (60)

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   +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   +5 more sources

Directed colimits of some flatness properties and purity of epimorphisms in S-posets

Open Mathematics, 2018
Let S be a pomonoid. In this paper, we introduce some new types of epimorphisms with certain purity conditions, and obtain equivalent descriptions of various flatness properties of S-posets, such as strong flatness, Conditions (E), (E′), (P), (Pw), (WP),
Liang Xingliang, Khosravi Roghaieh
doaj   +7 more sources

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   +4 more sources

Rees coextensions of finite tomonoids and free pomonoids [PDF]

Semigroup Forum, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Milan Petrik, Thomas Vetterlein
exaly   +6 more sources

Every BCK-algebra is a set of residuables in an integral pomonoid [PDF]

Journal of Algebra, 1988
It is shown that every BCK-algebra is isomorphic to a sub-algebra of the residuation-reduct of some integral commutative monoid with residuation. This result can be easily derived from embedding theorems of \textit{H. Ono} and \textit{Y. Komori} [J. Symb. Logic 50, 169-201 (1985; Zbl 0583.03018)] and \textit{M. Pałasiński} [An embedding theorem for BCK-
Isidore Fleischer
exaly   +3 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

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

Representations of zero-cancellative pomonoids

Mathematica Slovaca, 2014
Abstract Several familiar results on representations of MV-algebras shape the idea that the use of solving systems of linear equations can be studied also in the setting of zero-cancellative commutative pomonoids. This paper investigates this idea and shows that for the class of linearly representable zero-cancellative commutative ...
Jan Paseka
exaly   +2 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   +2 more sources