Results 121 to 130 of about 410 (158)
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Soft Computing, 2023
In this paper, we have established the notions of soft order relations and studied its basic structural properties. We give the concepts of soft maximum, soft minimum, soft maximal, soft minimal, soft infimum and soft supremum in any s-poset. Then, the concept of soft order preserving mapping is defined and given some basic results.
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In this paper, we have established the notions of soft order relations and studied its basic structural properties. We give the concepts of soft maximum, soft minimum, soft maximal, soft minimal, soft infimum and soft supremum in any s-poset. Then, the concept of soft order preserving mapping is defined and given some basic results.
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On Conditions (P′) and (Pw′) for S-posets
Journal of Algebra and Its Applications, 2023Partially 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 +2 more
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On injective hulls of $$S$$ S -posets
Semigroup Forum, 2014The 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 a generalization of principal weak (po-)flatness of S-posets
Asian-European Journal of Mathematics, 2021In [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 +2 more
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Projective S-Posets and Hom Functor
Algebra Colloquium, 2015We 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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Semigroup Forum, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The regular-injective envelope of $$S$$ S -posets
Semigroup Forum, 2015zbMATH 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, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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