Results 1 to 10 of about 276 (101)
On pomonoid of partial transformations of a poset [PDF]
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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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
Aftab Hussain Shah, Bana Al Subaiei
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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 ...
Milan Petrík, T. Vetterlein
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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 +2 more
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Examples of Pomonoids of Full Transformations of a Poset [PDF]
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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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 Po-injective and Po-surjective Wreath Product of Pomonoids
European Journal of Pure and Applied MathematicsLet $R$ and $S$ be pomonoids and $_{R}{A}$ be a left $R$-poset. The wreath product of the pomonoids $R$ and $S$ by $_{R}{A}$ is defined as the pomonoid $T~=~R \times F(A, S)$ While, the wreath product $_TC$ of the left $R$-poset $_{R}{A}$ with the ...
Bana Al Subaiei +3 more
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REGULAR INJECTIVITY AND EXPONENTIABILITY IN THE SLICE CATEGORIES OF ACTIONS OF POMONOIDS ON POSETS [PDF]
Journal of the Korean Mathematical Society, 2015 . For a pomonoid S, let us denote Pos-S the category ofS-posets and S-poset maps. In this paper, we consider the slice cate-gory Pos-S/B for an S-poset B,and study some categorical ingredients.We first show that there is no non-trivial injective object in
Farideh Farsad, A. Madanshekaf
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Every BCK-algebra is a set of residuables in an integral pomonoid
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-
I. Fleischer
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ON COMMUTATIVE RESIDUAL POMONOIDS [PDF]
Demonstratio Mathematica, 1998 Summary: We prove the following results: Commutative residual pomonoids with the identity as a maximal element are categorically equivalent to BCI-algebras with condition (S); commutative residual pomonoids with the identity as the greatest element, commutative implicative semigroups, and BCK-algebras with condition (S) are categorically equivalent to ...
Jie Meng
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