subpullbacks and po-flatness properties of s-posets
Authors
abstract
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 certain (sub)pullback diagrams and new properties such as and were discovered. in this article first of all we describe po-flatness properties of -posets over pomonoids by po-surjectivity of corresponding to certain subpullback diagrams. then we introduce three new conditions , and and investigate the relation between them and conditions , , , , and . also we describe these properties by po-surjectivity of corresponding to certain subpullback diag 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 certain (sub)pullback diagrams and new properties such as and were discovered. in this article first of all we describe po-flatness properties of -posets over pomonoids by po-surjectivity of corresponding to certain subpullback diagrams. then we introduce three new conditions , and and investigate the relation between them and conditions , , , , and . also we describe these properties by po-surjectivity of corresponding to certain subpullback diagrams and describe conditions , and by weak po-surjectivity of corresponding to certain subpullback diagrams. rams and describe conditions , and by weak po-surjectivity of corresponding to certain subpullback diagrams.
similar resources
Subpullbacks and Po-flatness Properties of S-posets
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 certain (sub)pullback diagrams and new properties such as and were discovered. In this article first of all we describe po-flatness propertie...
full textSubpullbacks and coproducts of $S$-posets
In 2001, S. Bulman-Fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts $A_{S}$ over a monoid $S$ that can be described by means of when the functor $A_{S} otimes -$ preserves pullbacks. In this paper, we extend these results to $S$-posets and present equivalent descriptions of weakly kernel p...
full textSubpullbacks and coproducts of S-posets
In 2001, S. Bulman-Fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts AS over a monoid S that can be described by means of when the functor AS ⊗ − preserves pullbacks. In this paper, we extend these results to S-posets and present equivalent descriptions of weakly kernel po-flat, principally...
full textProperties of products for flatness in the category of $S$-posets
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. Specifically, we characterize a pomonoid $S$ over which its nonempty products as right $S$-posets satisfy some known flatness properties. Generalizing this results, we investigate products of right $S$-posets satisfying Condi...
full textOn (po-)torsion free and principally weakly (po-)flat $S$-posets
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. Furthermore, we give a counterexample to show that Theorem 3.22 of Shi is incorrect. Thereby we present a correct version of this theorem. Finally, we characterize pomonoids over which all cyclic $S$-posets are ...
full textsubpullbacks and coproducts of $s$-posets
in 2001, s. bulman-fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts $a_{s}$ over a monoid $s$ that can be described by means of when the functor $a_{s} otimes -$ preserves pullbacks. in this paper, we extend these results to$s$-posets and present equivalent descriptions of weakly kernel po...
full textMy Resources
Save resource for easier access later
Journal title:
journal of sciences, islamic republic of iranPublisher: university of tehran
ISSN 1016-1104
volume 25
issue 4 2014
Keywords
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023