Results 21 to 30 of about 205 (64)
REGULAR INJECTIVITY AND EXPONENTIABILITY IN THE SLICE CATEGORIES OF ACTIONS OF POMONOIDS ON POSETS [PDF]
Journal of the Korean Mathematical Society, 2015 . For a pomonoid S, let us denote Pos-S the category ofS-posets and S-poset maps. In this paper, we consider the slice cate-gory Pos-S/B for an S-poset B,and study some categorical ingredients.We first show that there is no non-trivial injective object in
Farideh Farsad, A. Madanshekaf
semanticscholar +2 more sources
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
On subamalgams of partially ordered monoids
Semigroup Forum, 2022 The study of pomonoid amalgams was initiated by Fakhuruddin in the 1980s and subsequently extended by Bulman-Fleming, Sohail and the authors in the 2000s.
Bana Al Subaiei, J. Renshaw
semanticscholar +2 more sources
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
Covers for S-acts and condition (A) for a monoid S [PDF]
, 2015 A monoid S satisfies Condition (A) if every locally cyclic left S-act is cyclic. This condition first arose in Isbell’s work on left perfect monoids, that is, monoids such that every left S-act has a projective cover. Isbell showed that S is left perfect
Renshaw, James +4 more
core +1 more source
Characterization of Pomonoids by Properties of Generators
, 2015 The study of flatness properties of ordered monoids acting on posets was initiated by S.M. Fakhruddin in the 1980's. Although there exist many papers which investigate various properties of $S$-posets (posets equipped with a compatible right action of an ordered monoid $S$) from free to torsion free, among them generators, there seems to be known very ...
Irannezhad, Setareh, Madanshekaf, Ali
openaire +2 more sources
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities
, 2014 We prove that operator pomonoids of a po-Γ-semigroup with unities are Morita equivalent pomonoids. Conversely, we show that if L and R are Morita equivalent pomonoids then a po-Γ-semigroup A with unities can be constructed such that left and right ...
Sardar, S.K., Gupta, S.
core +2 more sources
From partially ordered monoids to partially ordered groups via free nuclear preimages
, 2023 Two fundamental constructions operating on residuated lattices and partially ordered monoids (pomonoids) are so-called nuclear images and conuclear images.
Přenosil, Adam
core
Unitary posets and amalgamations of pomonoids
, 2014 In 1927, Schreier proved that amalgams of groups are always embeddable in the category of groups. However, this is not true in the category of semigroups, as shown by Kimura.
Al Subaiei, Bana
core