Ideals and finiteness conditions for subsemigroups

Robert Gray; V Maltcev; JD Mitchell; N Ruskuc

doi:10.1017/s0017089513000086

Ideals and finiteness conditions for subsemigroups

Robert Gray, V Maltcev, JD Mitchell, N Ruskuc

Algebra, Number Theory, Logic, and Representations (ANTLR)

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

2 Citations (Scopus)

12 Downloads (Pure)

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, $\mathcal{D}=\mathcal{J}$ and minimal conditions on ideals.

Original language	English
Pages (from-to)	65-86
Number of pages	22
Journal	Glasgow Mathematical Journal
Volume	56
Issue number	01
Early online date	13 Aug 2013
DOIs	https://doi.org/10.1017/s0017089513000086
Publication status	Published - Jan 2014

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10.1017/s0017089513000086

GrayGMJ2014PostPrintAccepted author manuscript, 230 KB

Cite this

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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, $\mathcal{D}=\mathcal{J}$ and minimal conditions on ideals.",

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