Journal article
On Base Radical Operators for Classes of Finite Associative Rings
Bulletin of the Australian Mathematical Society, Vol.98(2), pp.239-250
2018
Abstract
In this paper, class operators are used to give a complete listing of distinct base radical and semisimple classes for universal classes of finite associative rings. General relations between operators reveal that the maximum order of the semigroup formed is 46. In this setting, the homomorphically closed semisimple classes are precisely the hereditary radical classes and hence radical-semisimple classes, and the largest homomorphically closed subclass of a semisimple class is a radical-semisimple class.
Details
- Title
- On Base Radical Operators for Classes of Finite Associative Rings
- Authors
- Robert G McDougall (Author) - University of the Sunshine Coast - Faculty of Science, Health, Education and EngineeringLauren K Thornton (Corresponding Author) - University of the Sunshine Coast - Faculty of Science, Health, Education and Engineering
- Publication details
- Bulletin of the Australian Mathematical Society, Vol.98(2), pp.239-250
- Publisher
- Cambridge University Press
- Date published
- 2018
- DOI
- 10.1017/S0004972718000461
- ISSN
- 0004-9727
- Organisation Unit
- School of Science and Engineering - Legacy; University of the Sunshine Coast, Queensland; School of Science, Technology and Engineering
- Language
- English
- Record Identifier
- 99450726302621
- Output Type
- Journal article
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- Mathematics