Results 11 to 20 of about 99 (60)
On Free Products and Amalgams of Pomonoids [PDF]
Communications in Algebra, 2016 The study of amalgamation in the category of partially ordered monoids was initiated by Fakhuruddin in the 1980s. In 1986 he proved that, in the category of commutative pomonoids, every absolutely flat commutative pomonoid is a weak amalgmation base and every commutative pogroup is a strong amalgamation base. Some twenty years later, Bulman-Fleming and
Al Subaiei, Bana, Renshaw, James
core +11 more sources
A characterization of a pomonoid $S$ all of its cyclic $S$-posets are regular injective [PDF]
Categories and General Algebraic Structures with Applications, 2013 This work is devoted to give a charcaterization of a pomonoid $S$ such that all cyclic $S$-posets are regular injective.
Xia Zhang, Wenling Zhang, Ulrich Knauer
doaj +1 more source
Properties of products for flatness in the category of $S$-posets [PDF]
Categories and General Algebraic Structures with Applications, 2016 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.
Roghaieh Khosravi, Mojtaba Sedaghatjoo
doaj +1 more source
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
Order dense injectivity of $S$-posets [PDF]
Categories and General Algebraic Structures with Applications, 2015 In this paper, the notion of injectivity with respect to order dense embeddings in the category of $S$-posets, posets with a monotone action of a pomonoid $S$ on them, is studied.
Leila Shahbaz
doaj +1 more source
On Rees Factor $\mathbf{S}$-Posets Satisfying Conditions $\mathbf{(PWP_{E})}$ or $\mathbf{(PWP_E)_{w}}$ [PDF]
Journal of Mahani Mathematical Research, 2023 Golchin and Rezaei introduced conditions $(PWP)$ and\linebreak $(PWP)_{w}$ in (Subpullbacks and flatness properties of $S$-posets). In this paper, we introduce conditions $(PWP_{E})$ and $(PWP_{E})_{w}$ as generalizations of these conditions ...
Zohre Khaki +2 more
doaj +1 more source
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 +1 more source
On the Coextension of Cut-Continuous Pomonoids [PDF]
Order, 2018 A partially ordered monoid, or pomonoid, is a monoid endowed with a compatible partial order, a pomonoid ia called cut-continuous if the product \(\cdot\) is separately cut-continuous, that is, the sets \(\{z : y\cdot z\leq x\}\) and \(\{z : z\cdot y \leq x\}\) are cuts for any \(x, y\in L.\) cut-continuous pomonoids are generalization of residuated ...
David Kruml +2 more
openaire +4 more sources
From partially ordered monoids to partially ordered groups via free nuclear preimages [PDF]
, 2023 Two fundamental constructions operating on residuated lattices and partially ordered monoids (pomonoids) are so-called nuclear images and conuclear images.
Přenosil, Adam
core +1 more source
On categorical aspects of S -quantales
Open Mathematics, 2018 S-quantales are characterized as injective objects in the category of S-posets with respect to certain class of homomorphisms that are order-preserving mappings. This paper is devoted to exhibitions of categorical structures on S-quantales.
Zhang Xia, Zhou Yunyan
doaj +1 more source