Results 11 to 20 of about 276 (101)
On the homological classification of pomonoids: atomic posemilattices [PDF]
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2013 Between dierent and relatively well investigated so-called flatness properties of S-posets there is a property called property (Pw) which, so far, has not received much attention. In a recent paper by the author pomonoids from a subclass of completely simple semigroups with adjoined identity, all of whose cyclic (Rees factor) S-posets satisfy property (
Mati Kilp
core +4 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 +2 more
doaj +2 more sources
On the Generators in the Category of Actions of Pomonoids on Posets and\n its Slices [PDF]
Categories and General Algebraic Structures with Applications, 2015 Let $S$ be a pomonoid, in this paper, {\bf Pos}-$S$, the category of $S$-posets and $S$-poset maps, is considered. First, we characterize some pomonoids on which all projectives in this category are generator or free. Then, we study regular injectivity and weakly regularly $d$-injectivity which lead to some homological classification results for ...
Farideh Farsad, Ali Madanshekaf
+7 more sources
Representations of zero-cancellative pomonoids
Mathematica Slovaca, 2014 Abstract Several familiar results on representations of MV-algebras shape the idea that the use of solving systems of linear equations can be studied also in the setting of zero-cancellative commutative pomonoids. This paper investigates this idea and shows that for the class of linearly representable zero-cancellative commutative ...
Jan Paseka
openalex +3 more sources
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
Bana Al Subaiei, James Renshaw
openalex +6 more sources
Characterization of Pomonoids by Properties of Generators [PDF]
, 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 ...
Setareh Irannezhad, Ali Madanshekaf
openalex +3 more sources
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
openalex +4 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 +2 more sources
Absolute flatness and amalgamation in pomonoids
Semigroup Forum, 2011 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. Subsequently, Howie initiated the study of semigroup amalgams by investigating when the embeddablity happens, and found that semigroup amalgams can be embeddable if the core of ...
Sohail Nasir
openalex +4 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