Right noetherian semigroups

Craig Miller; Nik Ruskuc

doi:10.1142/S0218196719500632

Right noetherian semigroups

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Abstract

A semigroup S is right noetherian if every right congruence on S is finitely generated. In this paper we present some fundamental properties of right noetherian semigroups, discuss how semigroups relate to their substructures with regard to the property of being right noetherian, and investigate whether this property is preserved under various semigroup constructions

Original language	English
Pages (from-to)	13-48
Number of pages	36
Journal	International Journal of Algebra and Computation
Volume	30
Issue number	01
Early online date	25 Sept 2019
DOIs	https://doi.org/10.1142/S0218196719500632
Publication status	Published - Feb 2020

Keywords

Right noetherian semigroup
Right congruence
Semigroup act
Finitely generated
Schützenberger group
Direct product

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10.1142/S0218196719500632

Right noetherian semigroups2
Copyright © 2019 World Scientific Publishing Company. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1142/S0218196719500632
Accepted author manuscript, 366 KBLicence: Unspecified

Cite this

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AB - A semigroup S is right noetherian if every right congruence on S is finitely generated. In this paper we present some fundamental properties of right noetherian semigroups, discuss how semigroups relate to their substructures with regard to the property of being right noetherian, and investigate whether this property is preserved under various semigroup constructions

KW - Right noetherian semigroup

KW - Right congruence

KW - Semigroup act

KW - Finitely generated

KW - Schützenberger group

KW - Direct product

UR - https://arxiv.org/abs/1811.08408

U2 - 10.1142/S0218196719500632

DO - 10.1142/S0218196719500632

M3 - Article

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VL - 30

SP - 13

EP - 48

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 01

ER -

Right noetherian semigroups

Abstract

Keywords

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