Results 41 to 50 of about 104 (53)

On zigzag theorem for commutative pomonoids and certain closed and absolutely closed monoids and pomonoids

Beitrage Zur Algebra Und Geometrie, 2019
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Aftab Shāh
exaly   +3 more sources

On the homological classification of pomonoids: Clifford pomonoids

Semigroup Forum, 2014
The 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.
exaly   +3 more sources

Homomorphisms of Abelian pomonoids induced by a class of BCI-homomorphisms

Semigroup Forum, 2001
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John Mordeson, Mordeson John N
exaly   +3 more sources

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 \((P_w)\).
exaly   +3 more sources

The coextension of commutative pomonoids and its application to triangular norms [PDF]

Quaestiones Mathematicae, 2019
Group coextensions of monoids, which generalise Schreier-type extensions of groups, have originally been defined by P.A. Grillet and J. Leech. The present paper deals with pomonoids, that is, monoids that are endowed with a compatible partial order ...
Thomas Vetterlein, Jiří Janda
exaly   +1 more source

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
openaire   +2 more sources

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
openaire   +2 more sources

Examples concerning absolute flatness and amalgamation in pomonoids

Semigroup Forum, 2010
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Bulman-Fleming, Sydney, Nasir, Sohail
openaire   +1 more source

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.
openaire   +2 more sources

Absolute flatness and amalgamation in pomonoids

Semigroup Forum, 2011
Nasir Sohail
exaly