Files and links (1)
Published VersionCC BY-NC-ND V4.0, Open Access
Journal article
A generalization of the lower radical type construction for strict and base radical classes
Communications in Algebra, Vol.52(9), pp.3978-3995
2024
Abstract
Regarding the construction of strict and base radical classes for the variety of associative rings, we show that "subring" and "accessible subring" are two of a number of substructures that can be used in constructing a radical class. The substructures we focus on are set properties that are transitive across accessible subrings. These substructures allow us to look beyond those that are related by the binary operations of the ring itself, to ones that may only be related by containment. The lower radical type construction defined by these substructures include those of Yu-lee Lee, McDougall and Stewart.
Details
- Title
- A generalization of the lower radical type construction for strict and base radical classes
- Authors
- Guy J. CookeRobert G. McDougall (Corresponding Author) - Central Queensland University
- Publication details
- Communications in Algebra, Vol.52(9), pp.3978-3995
- Publisher
- Taylor & Francis Inc.
- Date published
- 2024
- DOI
- 10.1080/00927872.2024.2337279
- ISSN
- 1532-4125; 0092-7872
- Copyright note
- © 2024 The Author(s). Published with license by Taylor & Francis Group, LLC. This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way. The terms on which this article has been published allow the posting of the Accepted Manuscript in a repository by the author(s) or with their consent.
- Organisation Unit
- School of Science, Technology and Engineering
- Language
- English
- Record Identifier
- 991022798302621
- Output Type
- Journal article
Metrics
32 Record Views
InCites Highlights
These are selected metrics from InCites Benchmarking & Analytics tool, related to this output
- Collaboration types
- Domestic collaboration
- Web Of Science research areas
- Mathematics