Add to ORKGCommunications in AlgebraIn this paper we consider the monoid O mxn of all order-preserving full transformations on a chain with mn elements that preserve a uniform m-partition and its submonoids O+ mxn and O− mxn of all extensive transformations and of all co-extensive transformations, respectively. We give formulas for the number of elements of these monoids and determine their ranks. Moreover, we construct a bilateral semidirect product decomposition of Omxn in terms of O− mxn and O+ mxn
Journal of Algebra, 321 (2009), p. 743–757Congruences on monoids of transformations preserving the ...
AbstractWe investigate the manner in which the partition monoid Pn and algebra Pnξ may be presented ...
Denote by Tn and Sn the full transformation semigroup and the symmetric group on the set {1, . . . ,...
Communications in AlgebraIn this paper we consider the monoid O mxn of all order-preserving full tr...
Bulletin of the Malaysian Mathematical Sciences SocietyIn this paper we give formulas for the number...
The rank of a semigroup, an important and relevant concept in Semigroup Theory, is the cardinality o...
AbstractThe main subject of this paper is the description of the congruences on certain monoids of t...
In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically...
AbstractLet POn be the semigroup of all order-preserving partial transformations of a finite chain. ...
In this paper we study the cyclic inverse monoid $\CI_n$ on a set $\Omega_n$ with $n$ elements, i.e....
In this note we consider the monoid PODIn of all monotone partial permutations on {1,....,n} and its...
In this paper we consider the monoid OR(n) of all full transformations on a chain with n elements th...
Glasgow Mathematical Journal, nº 47 (2005), pg. 413-424This paper is mainly dedicated to describing ...
International audienceLength preserving morphisms and inverse of substitutions are two well-studied ...
Bulletin of the Malaysian Mathematical Sciences Society, 2, 34 (1),(2011), p. 79–85We consider vario...
Journal of Algebra, 321 (2009), p. 743–757Congruences on monoids of transformations preserving the ...
AbstractWe investigate the manner in which the partition monoid Pn and algebra Pnξ may be presented ...
Denote by Tn and Sn the full transformation semigroup and the symmetric group on the set {1, . . . ,...
Communications in AlgebraIn this paper we consider the monoid O mxn of all order-preserving full tr...
Bulletin of the Malaysian Mathematical Sciences SocietyIn this paper we give formulas for the number...
The rank of a semigroup, an important and relevant concept in Semigroup Theory, is the cardinality o...
AbstractThe main subject of this paper is the description of the congruences on certain monoids of t...
In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically...
AbstractLet POn be the semigroup of all order-preserving partial transformations of a finite chain. ...
In this paper we study the cyclic inverse monoid $\CI_n$ on a set $\Omega_n$ with $n$ elements, i.e....
In this note we consider the monoid PODIn of all monotone partial permutations on {1,....,n} and its...
In this paper we consider the monoid OR(n) of all full transformations on a chain with n elements th...
Glasgow Mathematical Journal, nº 47 (2005), pg. 413-424This paper is mainly dedicated to describing ...
International audienceLength preserving morphisms and inverse of substitutions are two well-studied ...
Bulletin of the Malaysian Mathematical Sciences Society, 2, 34 (1),(2011), p. 79–85We consider vario...
Journal of Algebra, 321 (2009), p. 743–757Congruences on monoids of transformations preserving the ...
AbstractWe investigate the manner in which the partition monoid Pn and algebra Pnξ may be presented ...
Denote by Tn and Sn the full transformation semigroup and the symmetric group on the set {1, . . . ,...