Results 31 to 40 of about 154 (86)
Some properties of pseudo-BCK- and pseudo-BCI-algebras
, 2018 Pseudo-BCI-algebras generalize both BCI-algebras and pseudo-BCK-algebras, which are a non-commutative generalization of BCK-algebras. In this paper, following [J.G. Raftery and C.J. van Alten, Residuation in commutative ordered monoids with minimal zero,
Emanovský, Petr, Kühr, Jan
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Totally ordered commutative monoids [PDF]
, 2001 A totally ordered monoid - or tomonoid, for short - is a commutative semigroup with identity S equipped with a total order ≤s that is translation invariant, i.e., that satisfies: ∀x, y, z ∈, x ≤s y ⇒ x + z ≤s y + z.
Evans, K. +4 more
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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
Some more axiomatisability for S-acts [PDF]
, 2010 This paper discusses necessary and sufficient conditions on a monoid S, such that the class of C-flat left $S$-acts is axiomatisable, where C is the class of all embeddings (of right ideals into S) of right S-acts.
Shaheen, Lubna
core
On Morita equivalence of partially ordered semigroups with local units [PDF]
, 2011 We show that for two partially ordered semigroups S and T with common local units, there exists a unitary Morita context with surjective maps if and only if the categories of closed right S- and T-posets are ...
Tart, Lauri
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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
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Weak Factorization System for Actions of Po-monoids on Posets [PDF]
, 2015 Let $S$ be a pomonoid. In this paper, {\bf Pos}-$S$, the category of $S$-posets and $S$-poset maps, is considered. One of the main aims of this paper is to draw attention to the notion of weak factorization systems in {\bf Pos}-$S.$ We show that if the ...
Farsad, Farideh, Madanshekaf, Ali
core
On homological classification of pomonoids by regular weak injectivity properties of S-posets
Open Mathematics, 2007 Abstract If S is a partially ordered monoid then a right S-poset is a poset A on which S acts from the right in such a way that the action is compatible both with the order of S and A. By regular weak injectivity properties we mean injectivity properties with respect to all regular monomorphisms (not all monomorphisms) from different ...
Zhang Xia, Laan Valdis
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An Algebraic Approach to Valued Constraint Satisfaction [PDF]
, 2017 [EN]We study the complexity of the valued CSP (VCSP, for short) over arbitrary templates, taking the general framework of integral bounded linearly order monoids as valuation structures.
, Moraschini, Tommaso, Vidal, Amanda
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Absolute flatness and amalgams in pomonoids
Semigroup Forum, 1986 We define a tensor product for partially ordered sets acted on by a partially ordered monoid and study the related property of absolute flatness. As a by-product we show that a partially ordered commutative group is a strong amalgamation base in the category of partially ordered commutative monoids. This result originally due to Schreier in the case of
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