Results 31 to 40 of about 205 (64)
Every BCK-algebra is a set of residuables in an integral pomonoid
Journal of Algebra, 1988 It is shown that every BCK-algebra is isomorphic to a sub-algebra of the residuation-reduct of some integral commutative monoid with residuation. This result can be easily derived from embedding theorems of \textit{H. Ono} and \textit{Y. Komori} [J. Symb. Logic 50, 169-201 (1985; Zbl 0583.03018)] and \textit{M. Pałasiński} [An embedding theorem for BCK-
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Weak factorization systems and fibrewise regular injectivity for actions of pomonoids on posets
, 2017 Let S be a pomonoid. In this paper, 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 Pos-S.
Madanshekaf, A., Farsad, F.
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Equivariant completeness and regular injectivity of S-posets
, 2016 In this paper, considering the actions of a pomonoid S on posets, namely S-posets, we study some relations between equivariant completeness and regular injectivity of S-posets which lead to some homological classication results for pomonoids.
Rasouli, H
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On regular torsionless S-posets
, 2018 This paper shall be concerned with the notion of regular torsionless in the category of S-posets. Besides elementary basic properties of regular torsionless S-posets, we consider cyclic regular torsionless S-posets and also study when regular torsionless
Khosravi, R.
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AXIOMATISABILITY PROBLEMS FOR S-POSETS
, 2009 Let C be a class of ordered algebras of a given fixed type τ. Associated with the type is a first order language Lτ, which must also contain a binary predicate to be interpreted by the ordering in members of C.
Victoria Gould, Lubna Shaheen
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The Finite Embeddability Property for Some Noncommutative Knotted Varieties of RL and DRL
, 2015 Residuated lattices, although originally considered in the realm of algebra providing a general setting for studying ideals in ring theory, were later shown to form algebraic models for substructural logics.
Cardona Fuentes, Riquelmi Salvador
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On Condition $(PWP)_{w}$ for $S$-posets
, 2015 Xingliang Liang, Yanfeng Luo
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Representation Extension and Amalgamation in Pomonoids
Communications in Algebra, 2011 Flatness properties of acts over monoids and their connection with monoid amalgamation have been investigated for almost four decades and a substantial literature on the subject has now appeared. Analogous research, concerning the action of partially ordered monoids on partially ordered sets and its relation to pomonoid amalgamation, was begun in 1980s
Sydney Bulman-Fleming
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On the homological classification of pomonoids: Clifford pomonoids
Semigroup Forum, 2014The author characterizes Clifford pomonoids all of whose Rees factor \(S\)-posets satisfy property \((P_w)\), which in the row of so-called flatness properties lies between projective and po-flat. Clifford pomonoid (the author does not use this term) means a pomonoid which as a monoid is a Clifford semigroup.
M. Kilp
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