Add to ORKGBulletin of the Malaysian Mathematical Sciences Society, 2, 34 (1),(2011), p. 79–85We consider various classes of monoids of transformations on a finite chain, in particular transformations that preserve or reverse either the order or the orientation. Being finite monoids we are naturally interested in computing both their cardinals and the number of their idempotents. In this note we present a short survey on these questions which have been approached by various authors and close the problem by computing the number of idempotents of those monoids not considered before. Fibonacci and Lucas numbers play an essential role in the last computations
In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically...
The aim of this paper is to present some contributions to the theory of finite transformation monoid...
We give a semigroup presentation of the singular part of the symmetric inverse monoid on a finite se...
Bulletin of the Malaysian Mathematical Sciences SocietyIn this paper we give formulas for the number...
Journal of Algebra, 321 (2009), p. 743–757Congruences on monoids of transformations preserving the ...
AbstractThe main subject of this paper is the description of the congruences on certain monoids of t...
Glasgow Mathematical Journal, nº 47 (2005), pg. 413-424This paper is mainly dedicated to describing ...
In this paper we calculate presentations for some natural monoids of transformations on a chain Xn =...
Communications in Algebra, 33 (2005), p. 587-604In this paper we calculate presentations for some na...
In this paper we study the cyclic inverse monoid $\CI_n$ on a set $\Omega_n$ with $n$ elements, i.e....
Semigroup Forum vol. 68 (2004), p. 335–356We compute the abelian kernels of some monoids of partial ...
In this paper we consider the monoid OR(n) of all full transformations on a chain with n elements th...
In this paper we consider the submonoids $\mathcal{OPDI}_n$, $\mathcal{MDI}_n$ and $\mathcal{ODI}_n$...
It is shown that the monoid En of extensive transformations of a chain of order n is hereditarily fi...
Communications in AlgebraIn this paper we consider the monoid O mxn of all order-preserving full tr...
In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically...
The aim of this paper is to present some contributions to the theory of finite transformation monoid...
We give a semigroup presentation of the singular part of the symmetric inverse monoid on a finite se...
Bulletin of the Malaysian Mathematical Sciences SocietyIn this paper we give formulas for the number...
Journal of Algebra, 321 (2009), p. 743–757Congruences on monoids of transformations preserving the ...
AbstractThe main subject of this paper is the description of the congruences on certain monoids of t...
Glasgow Mathematical Journal, nº 47 (2005), pg. 413-424This paper is mainly dedicated to describing ...
In this paper we calculate presentations for some natural monoids of transformations on a chain Xn =...
Communications in Algebra, 33 (2005), p. 587-604In this paper we calculate presentations for some na...
In this paper we study the cyclic inverse monoid $\CI_n$ on a set $\Omega_n$ with $n$ elements, i.e....
Semigroup Forum vol. 68 (2004), p. 335–356We compute the abelian kernels of some monoids of partial ...
In this paper we consider the monoid OR(n) of all full transformations on a chain with n elements th...
In this paper we consider the submonoids $\mathcal{OPDI}_n$, $\mathcal{MDI}_n$ and $\mathcal{ODI}_n$...
It is shown that the monoid En of extensive transformations of a chain of order n is hereditarily fi...
Communications in AlgebraIn this paper we consider the monoid O mxn of all order-preserving full tr...
In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically...
The aim of this paper is to present some contributions to the theory of finite transformation monoid...
We give a semigroup presentation of the singular part of the symmetric inverse monoid on a finite se...