Results 11 to 20 of about 73 (42)
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 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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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 (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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REGULAR INJECTIVITY AND EXPONENTIABILITY IN THE SLICE CATEGORIES OF ACTIONS OF POMONOIDS ON POSETS [PDF]
Journal of the Korean Mathematical Society, 2015 Abstract. 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 Pos-S/B.Then we investigate injective objects with respect to the class of regu-lar ...
Farideh Farsad, Ali Madanshekaf
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Characterization of Pomonoids by Properties of Generators
, 2015 The study of flatness properties of ordered monoids acting on posets was initiated by S.M. Fakhruddin in the 1980's. Although there exist many papers which investigate various properties of $S$-posets (posets equipped with a compatible right action of an ordered monoid $S$) from free to torsion free, among them generators, there seems to be known very ...
Irannezhad, Setareh, Madanshekaf, Ali
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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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On a generalization of I-regularity
Open MathematicsLet SS be a pomonoid. The projectivity and strong flatness of right SS-posets have been central topics in the homological classification of pomonoids in recent decades. In 2005, Shi et al. introduced II-regular SS-posets and proved that all its cyclic SS-
Qiao Husheng, Feng Leting
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On the homological classification of pomonoids: atomic posemilattices
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 (
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