Results 11 to 20 of about 104 (53)
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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Varieties of Commutative Residuated Integral Pomonoids and Their Residuation Subreducts [PDF]
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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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) [PDF]
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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Rees coextensions of finite tomonoids and free pomonoids [PDF]
Semigroup Forum, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petrík, M. (Milan), Vetterlein, T.
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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. In a recent paper by the author pomonoids from a subclass of completely simple semigroups with adjoined identity, all of whose cyclic (Rees factor) S-posets satisfy property (
Kilp, Mati
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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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On (po-)torsion free and principally weakly (po-)flat $S$-posets [PDF]
Categories and General Algebraic Structures with Applications, 2018 In this paper, we first consider (po-)torsion free and principally weakly (po-)flat $S$-posets, specifically we discuss when (po-)torsion freeness implies principal weak (po-)flatness.
Roghaieh Khosravi, Xingliang Liang
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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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Properties of products for flatness in the category of $S$-posets [PDF]
Categories and General Algebraic Structures with Applications, 2016 This paper is devoted to the study of products of classes of right $S$-posets possessing one of the flatness properties and preservation of such properties under products.
Roghaieh Khosravi, Mojtaba Sedaghatjoo
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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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