We investigate the question as to when the members of a finite regular semigroup may be permuted in such a way that each member is mapped to one of its inverses. In general this is not possible. However we reformulate the problem in terms of a related graph and, using an application of Hall’s Marriage Lemma, we show in particular that the finite full transformation semigroup does enjoy this property
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
The concept of HNN extensions of groups was introduced by Higman, Neumann and Neumann in their study...
We give an account on what is known on the subject of permutation matchings, which are bijections of...
We continue the study of permutations of a fi nite regular semigroup that map each element to one of...
J.M. Howie, the influential St Andrews semigroupist, claimed that we value an area of pure mathemati...
A semigroup S is called inverse if for each s in S, there exists a unique t in S such that sts = s a...
A semigroup S is called inverse if for each s in S, there exists a unique t in S such that sts = s a...
A semigroup S is called inverse if for each s in S, there exists a unique t in S such that sts = s a...
As an appropriate generalisation of the features of the classical (Schein) theory of representations...
AbstractT. E. Hall proved in 1978 that if [S1,S2;U] is an amalgam of regular semigroups in whichS1∩S...
This thesis originated in an effort to find an efficient algorithm for the construction of finite in...
The ‘permutation property’, P, for semigroups has recently been introduced and studied by several au...
Abstract. The aim of this paper is to study semigroups possessing E-regular elements, where an eleme...
Abstract. The aim of this paper is to study semigroups possessing E-regular elements, where an eleme...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
The concept of HNN extensions of groups was introduced by Higman, Neumann and Neumann in their study...
We give an account on what is known on the subject of permutation matchings, which are bijections of...
We continue the study of permutations of a fi nite regular semigroup that map each element to one of...
J.M. Howie, the influential St Andrews semigroupist, claimed that we value an area of pure mathemati...
A semigroup S is called inverse if for each s in S, there exists a unique t in S such that sts = s a...
A semigroup S is called inverse if for each s in S, there exists a unique t in S such that sts = s a...
A semigroup S is called inverse if for each s in S, there exists a unique t in S such that sts = s a...
As an appropriate generalisation of the features of the classical (Schein) theory of representations...
AbstractT. E. Hall proved in 1978 that if [S1,S2;U] is an amalgam of regular semigroups in whichS1∩S...
This thesis originated in an effort to find an efficient algorithm for the construction of finite in...
The ‘permutation property’, P, for semigroups has recently been introduced and studied by several au...
Abstract. The aim of this paper is to study semigroups possessing E-regular elements, where an eleme...
Abstract. The aim of this paper is to study semigroups possessing E-regular elements, where an eleme...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connec...
The concept of HNN extensions of groups was introduced by Higman, Neumann and Neumann in their study...
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