Journal article
A comparison of Kurosh–Amitsur and base radical classes
Beiträge zur Algebra und Geometrie, Vol.62, pp.871-882
2021
Abstract
In this paper we use class operators to compare and contrast Kurosh-Amitsur radical classes and base radical classes in a setting where they do not coincide to highlight some of the consequences of changing ‘ideal’ to ‘accessible’ in the construction. We show the result of Puczyłowski that the largest hereditary subclass of a Kurosh–Amitsur radical class is a Kurosh–Amitsur radical class does not extend to the largest hereditary subclass of a base radical class being base radical and uncover a class of algebras which are not Kurosh–Amitsur radical-semisimple, nor base radical-semisimple, but rather Kurosh–Amitsur radical-base semisimple.
Details
- Title
- A comparison of Kurosh–Amitsur and base radical classes
- Authors
- Robert McDougall (Author) - University of the Sunshine Coast, Queensland, School of Science and Engineering - LegacyLauren Thornton (Corresponding Author) - University of the Sunshine Coast, Queensland, School of Science and Engineering - Legacy
- Publication details
- Beiträge zur Algebra und Geometrie, Vol.62, pp.871-882
- Publisher
- Springer
- DOI
- 10.1007/s13366-020-00538-z
- ISSN
- 2191-0383
- Organisation Unit
- School of Science and Engineering - Legacy; School of Science, Technology and Engineering; University of the Sunshine Coast, Queensland
- Language
- English
- Record Identifier
- 99482286302621
- Output Type
- Journal article
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