Results 171 to 180 of about 532 (199)

The regular-injective envelope of $$S$$ S -posets

Semigroup Forum, 2015
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H. Rasouli, Hasan Barzegar
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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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On injective hulls of $$S$$ S -posets

Semigroup Forum, 2014
The authors describe injectives in the category of \(S\)-posets with \(S\)-submultiplicative morphisms and construct injective hulls of \(S\)-posets with respect to a specific class \({\mathcal E}_{\leq}\) of morphisms. The main theorem reads as follows: For every \(S\)-poset \(A_S\), the quantal \({\mathcal Q}(A)_S\) is the \({\mathcal E}_{\leq ...
Zhang, Xia, Laan, Valdis
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On Conditions (P′) and (Pw′) for S-posets

Journal of Algebra and Its Applications, 2023
Partially ordered monoids (or pomonoids) [Formula: see text] acting on a partially ordered set (or poset), briefly [Formula: see text]-posets, appear naturally in the study of mappings between posets, and play an essential role in pomonoid theory. The study of flatness properties of [Formula: see text]-posets was initiated by Fakhruddin in the 1980s ...
Xingliang Liang, Yinan Chen, Roghaieh Khosravi   +2 more
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On the homological classification of pomonoids by their Rees factor S-posets

Semigroup Forum, 2009
Let \((S,\cdot,\leq)\) be a partially ordered monoid and let \(A\) be a partially ordered set. Then \(A\) is called a left \(S\)-poset, denoted by \(_SA\) if \(S\) acts on \(A\) in such a way that: (i) the action is isotone in each of the variables, (ii) \(s(ta) =(st)a\) for any \(s,t\in S\), \(a\in A\), (iii) \(1a=a\) for any \(a\in S\). If \(a\in S\)
Husheng Qiao, Zhongkui Liu
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Completion of S-posets

Semigroup Forum, 2012
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On a generalization of principal weak (po-)flatness of S-posets

Asian-European Journal of Mathematics, 2021
In [H. Rashidi, A. Golchin and H. Mohammadzadeh saany, On [Formula: see text]-flat acts, Categ. Gen. Algebr. Struct. Appl. 12(1) (2020) 175–197], the study of [Formula: see text]-flatness property of right acts [Formula: see text] over a monoid [Formula: see text] that can be described by means of when the functor [Formula: see text]-preserves some ...
Hamideh Rashidi, Akbar Golchin, Hossein Mohammadzadeh Saany   +2 more
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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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On strongly flat and condition (P) S-posets

Semigroup Forum, 2010
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Ershad, M., Khosravi, R.
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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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