Results 11 to 20 of about 160 (71)
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, Thomas Vetterlein
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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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On homological classification of pomonoids by regular weak injectivity properties of S-posets
Open Mathematics, 2007 Abstract If S is a partially ordered monoid then a right S-poset is a poset A on which S acts from the right in such a way that the action is compatible both with the order of S and A. By regular weak injectivity properties we mean injectivity properties with respect to all regular monomorphisms (not all monomorphisms) from different ...
Zhang Xia, Laan Valdis
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Varieties of Commutative Residuated Integral Pomonoids and Their Residuation Subreducts
Journal of Algebra, 1997 Let \(\langle A;\oplus ,0,\leq \rangle\) be a commutative (dually) integral partially ordered monoid whose identity \(0\) is the least element of \(\langle A,\leq \rangle\), where \(\leq\) is a partial order compatible with the monoid operation \(\oplus\) in the sense that \(a\oplus b\leq c\oplus d\) whenever \(a\leq c\) and \(b\leq d\).
Blok, Willem J., Raftery, James G.
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ON COMMUTATIVE RESIDUAL POMONOIDS
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 ...
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Subpullbacks and Po-flatness Properties of S-posets [PDF]
Journal of Sciences, Islamic Republic of Iran, 2014 In (Golchin A. and Rezaei P., Subpullbacks and flatness properties of S-posets. Comm. Algebra. 37: 1995-2007 (2009)) study was initiated of flatness properties of right -posets over a pomonoid that can be described by surjectivity of corresponding to ...
A. Golchin, L. Nouri
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Absolute flatness and amalgams in pomonoids
Semigroup Forum, 1986 We define a tensor product for partially ordered sets acted on by a partially ordered monoid and study the related property of absolute flatness. As a by-product we show that a partially ordered commutative group is a strong amalgamation base in the category of partially ordered commutative monoids. This result originally due to Schreier in the case of
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Characterizarion of pomonoids by weakly pullback flat S-posets(弱拉回平坦序S-系对序幺半群的刻画)
Zhejiang Daxue xuebao. Lixue ban, 2019 设S 是序幺半群，借助环模理论以及半群S-系理论方法，在序S-系范畴中研究了弱拉回平坦性质。刻画了弱拉回平坦序S-系关于直积封闭的序幺半群类以及弱拉回平坦性质与其他性质一致的序幺半群类，讨论了循环序S-系具有拉回平坦覆盖的条件，进而推广了S-系的一些重要结果。
LIANGXingliang(梁星亮) +2 more
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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 +2 more
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