On generators and presentation of semidirect products in inverse semigroups

Dombi, Erzsebet and Ruskuc, N (2009) On generators and presentation of semidirect products in inverse semigroups. Bulletin of the Australian Mathematical Society, 79 (3). pp. 353-365. ISSN 0004-9727

Full text not available in this repository.Request a copy from the Strathclyde author

Abstract

In this paper we prove two main results. The first is a necessary and sufficient condition for a semidirect product of a semilattice by a group to be finitely generated. The second result is a necessary and sufficient condition for such a semidirect product to be finitely presented.