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Ranks and presentations of some normally ordered inverse semigroups

Periodica Mathematica Hungarica, 2019
In this paper we compute the rank and exhibit a presentation for the monoids of all P -stable and P -order preserving partial permutations on a finite set $$\Omega $$ Ω , with P an ordered uniform partition of $$\Omega $$ Ω .
Rita Caneco   +2 more
semanticscholar   +1 more source

On Algebraic Semigroups and Monoids

, 2012
Consider an algebraic semigroup $S$ and its closed subscheme of idempotents, $E(S)$. When $S$ is commutative, we show that $E(S)$ is finite and reduced; if in addition $S$ is irreducible, then $E(S)$ is contained in a smallest closed irreducible ...
M. Brion
semanticscholar   +1 more source

On bi-ideals of ordered full transformation semigroups

Discussiones Mathematicae - General Algebra and Applications, 2023
In this paper we describe the Greens relations on the semigroup of bi-ideals of ordered full transformation semigroup in terms of Greens relations of ordered full transformation semigroup on a set.
Minnumol P. K. And, P. G. Romeo
semanticscholar   +1 more source

Morita equivalence for partially ordered monoids and po-??-semigroups with unities

2019
We prove that operator pomonoids of a po-??-semigroup with unities are Morita equivalent pomonoids. Conversely, we show that if L and R are Morita equivalent pomonoids then a po-??-semigroup A with unities can be constructed such that left and right operator pomonoids of A are Pos-isomorphic to L and R respectively.
Gupta, S., Sardar, S.K.
openaire   +2 more sources

The partially ordered monoid of semigroup varieties under wreath product

The non-trivial semigroup varieties form an ordered semigroup \(S\) under wreath product as the multiplication and class inclusion as the order. The author observes that \(S\) is a semilattice of four convex subsemigroups: \(OC\), \(G\), \(LN\) and \(M\). Here \(OC\) is the zero ideal of \(S\) consisting of all varieties that contain the variety of all
openaire   +1 more source

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