Author:
Anderson T.,Divinsky N.,Suliński A.
Abstract
In the first part of this paper we shall consider associative rings, pointing out where associativity is required. In the second part we shall consider not necessarily associative rings and in particular alternative rings.A property S of rings is said to be a radical property, in the sense of Kurosh (4), if it satisfies the following three conditions:(a) Every homomorphic image of an S-ring (i.e. a ring with property S) is again an S-ring.
Publisher
Canadian Mathematical Society
Cited by
83 articles.
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1. Radicals of Paragraded Rings;Journal of Mathematical Sciences;2023-09
2. A comparison of Kurosh–Amitsur and base radical classes;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2020-10-22
3. Amitsur's property for skew polynomials of derivation type;Rocky Mountain Journal of Mathematics;2017-11-30
4. On partial H-radicals of Jacobson type;São Paulo Journal of Mathematical Sciences;2016-01-11
5. Note on some ideals of associative rings;Acta Mathematica Hungarica;2013-05-16