Results 61 to 70 of about 154 (86)

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.
Ali Madanshekaf
exaly   +5 more sources

Perfection for pomonoids

Semigroup Forum, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Victoria Gould
exaly   +3 more sources

Representations of zero-cancellative pomonoids

Mathematica Slovaca, 2014
Abstract Several familiar results on representations of MV-algebras shape the idea that the use of solving systems of linear equations can be studied also in the setting of zero-cancellative commutative pomonoids. This paper investigates this idea and shows that for the class of linearly representable zero-cancellative commutative ...
Jan Paseka
exaly   +2 more sources

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-
exaly   +2 more sources

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
openaire   +1 more source

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
openaire   +2 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.
openaire   +2 more sources

Examples concerning absolute flatness and amalgamation in pomonoids

Semigroup Forum, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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

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