On generators and presentations of semidirect products in inverse semigroups

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.

Citation

Dombi , E R & Ruskuc , N 2009 , ' On generators and presentations of semidirect products in inverse semigroups ' , Bulletin of the Australian Mathematical Society , vol. 79 , no. 3 , pp. 353-365 . https://doi.org/10.1017/S0004972708000890

Publication

Bulletin of the Australian Mathematical Society

Status

Peer reviewed

DOI

https://doi.org/10.1017/S0004972708000890

ISSN

0004-9727

Type

Journal article

Rights