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)

11 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

Access to Document

10.1017/s0017089513000086

GrayGMJ2014PostPrintAccepted author manuscript, 230 KB

Cite this

@article{266d9f7ac4a44378b0c11d5c8c5d390f,

title = "Ideals and finiteness conditions for subsemigroups",

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.",

author = "Robert Gray and V Maltcev and JD Mitchell and N Ruskuc",

year = "2014",

month = jan,

doi = "10.1017/s0017089513000086",

language = "English",

volume = "56",

pages = "65--86",

journal = "Glasgow Mathematical Journal",

issn = "0017-0895",

publisher = "Cambridge University Press",

number = "01",

}

TY - JOUR

T1 - Ideals and finiteness conditions for subsemigroups

AU - Gray, Robert

AU - Maltcev, V

AU - Mitchell, JD

AU - Ruskuc, N

PY - 2014/1

Y1 - 2014/1

N2 - 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.

AB - 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.

U2 - 10.1017/s0017089513000086

DO - 10.1017/s0017089513000086

M3 - Article

VL - 56

SP - 65

EP - 86

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

SN - 0017-0895

IS - 01

ER -