Results 41 to 50 of about 96 (61)

On subamalgams of partially ordered monoids

Semigroup Forum, 2022
The study of pomonoid amalgams was initiated by Fakhuruddin in the 1980s and subsequently extended by Bulman-Fleming, Sohail and the authors in the 2000s.
Bana Al Subaiei, James Renshaw, Al Subaiei Bana   +2 more
exaly   +2 more sources

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

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahanger, Shabir Ahmad, Shah, Aftab Hussain   +1 more
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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.
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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, Sohail Nasir
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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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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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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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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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A correction on the paper “the flatness properties of S-poset A(I) and Rees factor S-posets”

Semigroup Forum, 2014
Akbar Golchin, Leila Nouri
exaly