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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 lauren.thornton@research.usc.edu.au
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Abstract

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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