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ON BASE RADICAL OPERATORS FOR CLASSES OF FINITE ASSOCIATIVE RINGS
- Source :
- Bulletin of the Australian Mathematical Society. 98:239-250
- Publication Year :
- 2018
- Publisher :
- Cambridge University Press (CUP), 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.
- Subjects :
- Pure mathematics
Class (set theory)
Semigroup
General Mathematics
Mathematics::Rings and Algebras
010102 general mathematics
0211 other engineering and technologies
02 engineering and technology
Base (topology)
01 natural sciences
Mathematics::Quantum Algebra
Order (group theory)
0101 mathematics
Mathematics::Representation Theory
Associative property
021101 geological & geomatics engineering
Mathematics
Subjects
Details
- ISSN :
- 17551633 and 00049727
- Volume :
- 98
- Database :
- OpenAIRE
- Journal :
- Bulletin of the Australian Mathematical Society
- Accession number :
- edsair.doi...........ba93545fbee2d49baeb3cc00ba7450f5