Results 31 to 40 of about 73 (42)

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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On classification of pomonoids by properties of generators

Asian-European Journal of Mathematics, 2017
In this paper, we attempt to collect the knowledge on generators in the category Pos-[Formula: see text] and to apply this to proceed on the questions of homological classification of ordered monoids, that is results of the type: all generators in the category Pos-[Formula: see text], have a flatness property if and only if [Formula: see text] has a ...
Irannezhad, Setareh, Madanshekaf, Ali
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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 unitary down-closed regular monomorphisms of pomonoid actions

Quaestiones Mathematicae, 2018
In this paper we characterize injective objects in the category of S-posets and S-poset maps for a pomonoid S, with respect to the class of unitary down- closed embeddings. Also, the behaviour of this notion of injectivity with respect to products and coproducts is studied.
Farsad, Farideh, Madanshekaf, Ali
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Epimorphisms, dominions and amalgamation in pomonoids

Semigroup Forum, 2014
If \(f\colon S\to T\) is an epimorphism of monoids, then it is an epimorphism of pomonoids. The author shows that the converse statement also holds. That is, if \(f\colon S\to T\) is an epimorphism of pomonoids, then it is an epimorphism of monoids.
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Examples concerning absolute flatness and amalgamation in pomonoids

Semigroup Forum, 2010
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Bulman-Fleming, Sydney, Nasir, Sohail
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On the homological classification of pomonoids by properties of cyclic S-posets

Semigroup Forum, 2013
Between different so-called flatness properties of \(S\)-posets there is a property \((P_w)\) that is studied here. The author characterizes pomonoids from a subclass of completely simple semigroups with adjoined identity, all of whose cyclic (Rees factor) \(S\)-posets satisfy \((P_w)\).
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Homomorphisms of Abelian pomonoids induced by a class of BCI-homomorphisms

Semigroup Forum, 2001
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Kuresh, S. W., Mordeson, J. N.
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The coextension of commutative pomonoids and its application to triangular norms

Quaestiones Mathematicae, 2019
Thomas Vetterlein, Jiří Janda
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Absolute flatness and amalgamation in pomonoids

Semigroup Forum, 2011
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