Results 11 to 20 of about 410 (158)

Directed colimits of some flatness properties and purity of epimorphisms in S-posets [PDF]

Open Mathematics, 2018
Let S be a pomonoid. In this paper, we introduce some new types of epimorphisms with certain purity conditions, and obtain equivalent descriptions of various flatness properties of S-posets, such as strong flatness, Conditions (E), (E′), (P), (Pw), (WP),
Liang Xingliang, Khosravi Roghaieh
doaj   +17 more sources

ON REGULAR PRIME INJECTIVITY OF S-POSETS [PDF]

Journal of Algebraic Systems, 2021
In this paper, we define the notion of regular prime monomorphism for $S$-posets over a pomonoid $S$ and investigate some categorical properties including products, coproducts and pullbacks.
H. Rasouli, Gh. R. Moghaddasi, N. Sarvghad   +2 more
doaj   +13 more sources

A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS [PDF]

Journal of Algebraic Systems, 2020
In this paper, we investigate po-purity using finitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure.
R. Khosravi, M. Roueentan
doaj   +6 more sources

NETS AND SEPARATED S-POSETS [PDF]

Journal of Algebraic Systems, 2013
Nets, useful topological tools, used to generalize certainconcepts that may only be general enough in the context of metricspaces. In this work we introduce this concept in an $S$-poset, aposet with an action of a posemigroup $S$ on it whichis a very ...
Mahdieh Haddadi
doaj   +3 more sources

An investigation on hyper S-posets over ordered semihypergroups [PDF]

Open Mathematics, 2017
In this paper, we define and study the hyper S-posets over an ordered semihypergroup in detail. We introduce the hyper version of a pseudoorder in a hyper S-poset, and give some related properties.
Tang Jian, Davvaz Bijan, Xie Xiang-Yun
doaj   +3 more sources

A complete theoretical framework for inferring horizontal gene transfers using partial order sets. [PDF]

PLoS ONE, 2023
We present a method for detecting horizontal gene transfer (HGT) using partial orders (posets). The method requires a poset for each species/gene pair, where we have a set of species S, and a set of genes G.
Nahla A Belal, Lenwood S Heath
doaj   +2 more sources

Right dc-Noetherian $S$-posets [PDF]

Journal of Mahani Mathematical Research
In the present paper, the right dc-Noetherianity for $S$-posets is defined and studied. Some fundamental properties of right dc-Noetherian $S$-posets are presented, and the relation of right dc-Noetherian $S$-posets with sub $S$-posets, factor $S$-posets,
Leila shahbaz
doaj   +2 more sources

Subpullbacks and Po-flatness Properties of S-posets [PDF]

Journal of Sciences, Islamic Republic of Iran, 2014
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 ...
A. Golchin, L. Nouri
doaj   +2 more sources

On homological classification of pomonoids by GP-po-flatness of S-posets

Open Mathematics, 2016
In this paper, we introduce GP-po-flatness property of S-posets over a pomonoid S, which lies strictly between principal weak po-flatness and po-torsion freeness.
Liang Xingliang, Feng Xinyang, Luo Yanfeng   +2 more
doaj   +2 more sources

Characterization of Pomonoids by Properties of I-Regular S-Posets

Mathematics
In 2005, Shi defined I-regular S-posets and used this concept to characterize PP-pomonoids and po-cancellable pomonoids. In this paper, we continued the development of the homological classification of pomonoids by using the I-regularity of S-posets ...
Tingting Zhao
doaj   +2 more sources