Results 151 to 160 of about 21,654,511 (186)
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Projective S-Posets and Hom Functor

Algebra Colloquium, 2015
We prove for a unitary S-poset P that the functor hom (P,-) is exact if and only if P is isomorphic to eS for some idempotent e in S. We note that this result differs from the well-known result of exactness of the functor hom (P,-) in the category of modules.
Irannezhad, Setareh, Madanshekaf, Ali
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Completion of S-posets

Semigroup Forum, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The regular-injective envelope of $$S$$ S -posets

Semigroup Forum, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rasouli, H., Barzegar, H.
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Generators in the category of S-posets

Central European Journal of Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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MacWilliams Extension Property With Respect to Weighted Poset Metric

IEEE Transactions on Information Theory
Let $\mathbf {H}$ be the Cartesian product of a family of left modules over a ring $S$ , indexed by a finite set $\Omega $ . We study the MacWilliams extension property (MEP) with respect to $(\mathbf {P},\omega)$ -weight on $\mathbf {H}$ , where $
Yang Xu, Haibin Kan, Guangyue Han
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On strongly flat and condition (P) S-posets

Semigroup Forum, 2010
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Ershad, M., Khosravi, R.
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On weakly pullback flat S-posets

Journal of Algebra and Its Applications
In 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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Connectivity, indecomposable, and weakly reversible in S-posets

Asian-European Journal of Mathematics, 2020
Over 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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Injectivity of $$S$$ S -posets with respect to down closed regular monomorphisms

Semigroup Forum, 2015
Let \(S\) 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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