Ideals and finiteness conditions for subsemigroups

Robert Duncan Gray; Victor Maltcev; James David Mitchell; N. Ruskuc

doi:10.1017/S0017089513000086

Ideals and finiteness conditions for subsemigroups

Robert Duncan Gray, Victor Maltcev, James David Mitchell, N. Ruskuc

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

Abstract

In this paper we consider a number of finiteness conditions for semigroups related to their ideal structure, and ask whether such conditions are preserved by sub- or supersemigroups with finite Rees or Green index. Specific properties under consideration include stability, D=J and minimal conditions on ideals.

Original language	English
Pages (from-to)	65-86
Journal	Glasgow Mathematical Journal
Volume	56
Issue number	1
Early online date	13 Aug 2013
DOIs	https://doi.org/10.1017/S0017089513000086
Publication status	Published - 2014

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10.1017/S0017089513000086

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This is the author's version of this article. The definitive version, Copyright © Glasgow Mathematical Journal Trust 2013 is published in Glasgow Mathematical Journal 56(1) available from http://journals.cambridge.org
Accepted author manuscript, 226 KB

Theory of Semigroups: Representation theory of Semigroups
Ruskuc, N. (PI)
EPSRC
1/04/12 → 30/09/15
Project: Standard
Finiteness Conditions and Index: Finiteness Conditions and Index in Semigroups and Monoids
Gray, R. D. (PI)
EPSRC
1/02/08 → 31/01/11
Project: Standard

Cite this

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Ideals and finiteness conditions for subsemigroups

Abstract

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Projects

Theory of Semigroups: Representation theory of Semigroups

Finiteness Conditions and Index: Finiteness Conditions and Index in Semigroups and Monoids

Cite this