Results 161 to 170 of about 445 (171)
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On weakly pullback flat S-posets
Journal of Algebra and Its ApplicationsIn 2005, Bulman-Fleming and Laan established an analog of the Lazard–Govorov–Stenström theorem in the convex of [Formula: see text]-posets, which shows that an [Formula: see text]-poset [Formula: see text] is strongly flat if and only if [Formula: see text]-preserves subpullbacks and subequalizers if and only if [Formula: see text] satisfies condition
Tingting Zhao, Husheng Qiao, Xia Zhang
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On strongly flat and condition (P) S-posets
Semigroup Forum, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ershad, M., Khosravi, R.
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Connectivity, indecomposable, and weakly reversible in S-posets
Asian-European Journal of Mathematics, 2020Over the past four decades an extensive literature covered the properties of [Formula: see text]-acts. However, only few studies had generalized some known properties of [Formula: see text]-acts to the [Formula: see text]-posets. The reversible, and indecomposable properties in [Formula: see text]-posets have been addressed previously but connectivity
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Generators in the category of S-posets
Central European Journal of Mathematics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Injectivity of $$S$$ S -posets with respect to down closed regular monomorphisms
Semigroup Forum, 2015Let \(S\) be a pomonoid. An embedding \(f\colon A\to B\) of \(S\)-pomonoids is called \textit{down closed} if \(f(A)\) is a down closed \(S\)-poset of \(B\). An \(S\)-poset \(A\) is called \textit{down closed regular injective} or \textit{dc-injective} if it is injective with respect to down closed embeddings. \(A\) is called \textit{poideal injective}
Shahbaz, Leila, Mahmoudi, Mojgan
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Rees short exact sequences of \(S\)-posets
2017Summary: In this paper the notion of Rees short exact sequence for \(S\)-posets is introduced, and we investigate the conditions for which these sequences are left or right split. Unlike the case for \(S\)-acts, being right split does not imply left split.
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Mathematische Nachrichten, 2005
AbstractIn 1971, inspired by the work of Lazard and Govorov for modules over a ring, Stenström proved that the strongly flat right actsASover a monoidS(that is, the acts that are directed colimits of finitely generated free acts) are those for which the functorAS⊗ (from the category of leftS‐acts into the category of sets) preserves pullbacks and ...
Bulman-Fleming, Sydney, Laan, Valdis
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AbstractIn 1971, inspired by the work of Lazard and Govorov for modules over a ring, Stenström proved that the strongly flat right actsASover a monoidS(that is, the acts that are directed colimits of finitely generated free acts) are those for which the functorAS⊗ (from the category of leftS‐acts into the category of sets) preserves pullbacks and ...
Bulman-Fleming, Sydney, Laan, Valdis
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On the homological classification of pomonoids by properties of cyclic S-posets
Semigroup Forum, 2013Between different so-called flatness properties of \(S\)-posets there is a property \((P_w)\) that is studied here. The author characterizes pomonoids from a subclass of completely simple semigroups with adjoined identity, all of whose cyclic (Rees factor) \(S\)-posets satisfy \((P_w)\).
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