Results 1 to 10 of about 104 (53)
On homological classification of pomonoids by GP-po-flatness of S-posets [PDF]
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
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Epimorphisms Amalgams and Po-Unitary Pomonoids [PDF]
AxiomsThis 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 +2 more
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On Free Products and Amalgams of Pomonoids [PDF]
Communications in Algebra, 2016 The study of amalgamation in the category of partially ordered monoids was initiated by Fakhuruddin in the 1980s. In 1986 he proved that, in the category of commutative pomonoids, every absolutely flat commutative pomonoid is a weak amalgmation base and every commutative pogroup is a strong amalgamation base. Some twenty years later, Bulman-Fleming and
Bana Al Subaiei, James Renshaw
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Characterization of Pomonoids by Properties of I-Regular S-Posets [PDF]
MathematicsIn 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
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On the Coextension of Cut-Continuous Pomonoids [PDF]
Order, 2018 A partially ordered monoid, or pomonoid, is a monoid endowed with a compatible partial order, a pomonoid ia called cut-continuous if the product \(\cdot\) is separately cut-continuous, that is, the sets \(\{z : y\cdot z\leq x\}\) and \(\{z : z\cdot y \leq x\}\) are cuts for any \(x, y\in L.\) cut-continuous pomonoids are generalization of residuated ...
Jan Paseka +2 more
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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
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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 +2 more
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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
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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
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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
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