Higgins, Peter M (2012) 'The product of the idempotents and an $\mathcal{H}$ -class of the finite full transformation semigroup.' Semigroup Forum, 84 (2). pp. 203-215. ISSN 0037-1912
Full text not available from this repository.Abstract
We investigate the set products S=EH, where E is the set of idempotents of a finite full transformation semigroup T X and H is an arbitrary H-class of T X. We show that S is a semigroup and is a union of H-classes of T X. We determine the nature of this union through use of Hall's Marriage Lemma. We describe Green's relations and thereby show that S has regular elements of all possible ranks and that Reg(S) forms a right ideal of S. © 2012 Springer Science+Business Media, LLC.
Item Type: | Article |
---|---|
Uncontrolled Keywords: | Full transformation semigroup; Idempotents; H-class; Hall's Lemma |
Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematical Sciences, Department of |
SWORD Depositor: | Elements |
Depositing User: | Elements |
Date Deposited: | 12 Feb 2013 13:05 |
Last Modified: | 15 Jan 2022 00:29 |
URI: | http://repository.essex.ac.uk/id/eprint/5514 |
Actions (login required)
![]() |
View Item |