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A note on Mal'tsev-Neumann products of radical classes

Citation

Gardner, BJ, A note on Mal'tsev-Neumann products of radical classes, International Electronic Journal of Algebra, 24 pp. 1-11. ISSN 1306-6048 (2018) [Refereed Article]

Copyright Statement

Prof. Dr. Abdullah HARMANCI Contact

DOI: doi:10.24330/ieja.440117

Abstract

A radical class 𝑅 of rings is elementary if it contains precisely those rings whose singly generated subrings are in 𝑅. Many examples of elementary radical classes are presented, and all those which are either contained in the Jacobson radical class or disjoint from it are described. There is a discussion of Mal'tsev products of radical classes in general, in which it is shown, among other things, that a product of elementary radical classes need not be a radical class, and if it is, it need not be elementary.

Item Details

Item Type:Refereed Article
Keywords:radical class, locally equational class, Mal'tsev-Neumann product, algebra
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Algebra and number theory
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Gardner, BJ (Dr Barry Gardner)
ID Code:129660
Year Published:2018
Web of Science® Times Cited:1
Deposited By:Mathematics and Physics
Deposited On:2018-12-11
Last Modified:2019-03-28
Downloads:0

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