The R-height of semigroups and their bi-ideals

Craig Andrew Miller

doi:The R-height of semigroups and their bi-ideals

The R-height of semigroups and their bi-ideals

Craig Andrew Miller

Mathematics

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

Abstract

The R-height of a semigroup S is the height of the poset of R-classes of S. Given a semigroup S with finite R-height, we establish bounds on the R-height of bi-ideals, one-sided ideals and two-sided ideals; in particular, these substructures inherit the property of having finite R-height. We then investigate whether these bounds can be attained.

Original language	English
Journal	International Journal of Algebra and Computation
Early online date	28 Nov 2022
DOIs	https://doi.org/The R-height of semigroups and their bi-ideals
Publication status	E-pub ahead of print - 28 Nov 2022

Bibliographical note

This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

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The R-height of semigroups and their bi-ideals

The R-height of semigroups and their bi-ideals
This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details
Accepted author manuscript, 327 KB

Right Noetherian and Coherent Monoids
Gould, V.
EPSRC
1/07/21 → 30/06/24
Project: Research project (funded) › Research

Cite this

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The R-height of semigroups and their bi-ideals

Abstract

Bibliographical note

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Projects

Right Noetherian and Coherent Monoids

Cite this