On generators and presentation of semidirect products in inverse semigroups

Erzsebet Dombi; N Ruskuc

doi:10.1017/S0004972708000890

On generators and presentation of semidirect products in inverse semigroups

Erzsebet Dombi, N Ruskuc

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	353-365
Number of pages	13
Journal	Bulletin of the Australian Mathematical Society
Volume	79
Issue number	3
DOIs	https://doi.org/10.1017/S0004972708000890
Publication status	Published - Jun 2009

Keywords

semidirect products
inverse semigroups
generators and presentation

Access to Document

10.1017/S0004972708000890

http://journals.cambridge.org/action/displayJournal?jid=BAZ

Cite this

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title = "On generators and presentation of semidirect products in inverse semigroups",

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.",

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KW - generators and presentation

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