We prove that the minimal cardinality of the semitransitive subsemigroup in the singular part $\IS_n\setminus \S_n$ of the symmetric inverse semigroup $\IS_n$ is $2n-p+1$, where $p$ is the greatest proper divisor of $n$, and classify all semitransitive subsemigroups of this minimal cardinality
We introduce the notion of semigroup with a tight ideal series and investigate their closures in sem...
Let $X$ be a set with infinite cardinality $m$ and let $B$ be the Baer-Levi semigroup, consisting of...
Let $X$ be a set with infinite cardinality $m$ and let $B$ be the Baer-Levi semigroup, consisting of...
We classify minimal transitive subsemigroups of the finitary inverse symmetric semigroup modulo the ...
Proceedings of the Edinburgh Mathematical Society, nº50 (2007), p.551-561The symmetric inverse monoi...
Yang (1999) classified the maximal inverse subsemigroups of all the ideals of the symmetric inverse ...
AbstractWe count the number of idempotent elements in a certain section of the s symmetric semigroup...
I consider the problem of elaborating an analogue, for the dual symmetric inverse monoid, of the `cl...
The symmetric inverse monoid I-n,, is the set of all partial permutations of an n-element set. The l...
AbstractLet Singn be the semigroup of singular self-maps of Xn = {1, … ,n}, let Rn = {α ∈ Singn: (∀y...
Abstract The symmetric inverse monoid In is the set of all partial permutations of an n-element set....
AbstractIn this paper we are concerned with the following question: for a semigroup S, what is the l...
Semigroup Forum, nº76 (2008), pg.579-583In this paper we describe the least non-negative integer n s...
AbstractWe develop a general approach to the study of maximal nilpotent subsemigroups of finite semi...
By an associate inverse subsemigroup of a regular semigroup $S$ we mean a subsemigroup $T$ of $S$ co...
We introduce the notion of semigroup with a tight ideal series and investigate their closures in sem...
Let $X$ be a set with infinite cardinality $m$ and let $B$ be the Baer-Levi semigroup, consisting of...
Let $X$ be a set with infinite cardinality $m$ and let $B$ be the Baer-Levi semigroup, consisting of...
We classify minimal transitive subsemigroups of the finitary inverse symmetric semigroup modulo the ...
Proceedings of the Edinburgh Mathematical Society, nº50 (2007), p.551-561The symmetric inverse monoi...
Yang (1999) classified the maximal inverse subsemigroups of all the ideals of the symmetric inverse ...
AbstractWe count the number of idempotent elements in a certain section of the s symmetric semigroup...
I consider the problem of elaborating an analogue, for the dual symmetric inverse monoid, of the `cl...
The symmetric inverse monoid I-n,, is the set of all partial permutations of an n-element set. The l...
AbstractLet Singn be the semigroup of singular self-maps of Xn = {1, … ,n}, let Rn = {α ∈ Singn: (∀y...
Abstract The symmetric inverse monoid In is the set of all partial permutations of an n-element set....
AbstractIn this paper we are concerned with the following question: for a semigroup S, what is the l...
Semigroup Forum, nº76 (2008), pg.579-583In this paper we describe the least non-negative integer n s...
AbstractWe develop a general approach to the study of maximal nilpotent subsemigroups of finite semi...
By an associate inverse subsemigroup of a regular semigroup $S$ we mean a subsemigroup $T$ of $S$ co...
We introduce the notion of semigroup with a tight ideal series and investigate their closures in sem...
Let $X$ be a set with infinite cardinality $m$ and let $B$ be the Baer-Levi semigroup, consisting of...
Let $X$ be a set with infinite cardinality $m$ and let $B$ be the Baer-Levi semigroup, consisting of...