Miller, Craig Andrew (2023) The R-height of semigroups and their bi-ideals. International Journal of Algebra and Computation. pp. 47-66. ISSN 1793-6500
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.
Metadata
Item Type: | Article | ||||||
---|---|---|---|---|---|---|---|
Authors/Creators: |
|
||||||
Copyright, Publisher and Additional Information: | 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 | ||||||
Dates: |
|
||||||
Institution: | The University of York | ||||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||||
Funding Information: |
|
||||||
Depositing User: | Pure (York) | ||||||
Date Deposited: | 01 Feb 2023 10:50 | ||||||
Last Modified: | 21 Mar 2024 00:25 | ||||||
Published Version: | https://doi.org/The R-height of semigroups and the... | ||||||
Status: | Published | ||||||
Refereed: | Yes | ||||||
Identification Number: | The R-height of semigroups and their bi-ideals |
Download
Filename: R_height.pdf
Description: The R-height of semigroups and their bi-ideals