Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-15T10:52:33.076Z Has data issue: false hasContentIssue false
  • English
  • Français

ON BASE RADICAL THEORY IN FINITE SETTINGS

Part of: Radicals and radical properties of rings General nonassociative rings

Published online by Cambridge University Press:  13 March 2020

LAUREN THORNTON Open the ORCID record for LAUREN THORNTON [Opens in a new window]
LAUREN THORNTON*
Affiliation:
Department of Mathematics, School of Science and Engineering, University of the Sunshine Coast, Queensland, Australia email [email protected]
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Keywords

base radical classbase semisimple classoperator semigroup

MSC classification

Primary: 16N80: General radicals and rings
Secondary: 17A65: Radical theory
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 101 , Issue 3 , June 2020 , pp. 510 - 511
Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to the University of the Sunshine Coast in March 2019; degree approved on 6 November 2019; supervisor Robert McDougall.

References

McDougall, R. G. and Thornton, L. K., ‘On base radical operators for classes of finite associative rings’, Bull. Aust. Math. Soc. 98(2) (2018), 239–250.10.1017/S0004972718000461CrossRefGoogle Scholar
McDougall, R. G. and Thornton, L. K., ‘A comparison of Kurosh–Amitsur and base radical classes’ (under review).Google Scholar
Thornton, L. K., ‘On base radical and semisimple operators for a class of finite algebras’, Beitr. Algebra Geom. 59(2) (2018), 361–374.10.1007/s13366-017-0371-5CrossRefGoogle Scholar