On left strong radicals of near-rings-Reference-Cited by-同舟云学术

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On left strong radicals of near-rings

Published:1988-10 Issue:3 Volume:31 Page:447-456
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Anderson T.,Kaarli K.,Wiegandt R.

Abstract

In this paper we shall deal with radicals γ of near-rings such that for every near-ring N its radical γ(N) contains all left ideals (left invariant subgroups, respectively) I of N with I∈γ. At first, examples of such radicals will be given. Then we shall prove that these radicals are hypersolvable and have hereditary semisimple classes.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. Radicals in mΩ-rings, II;Polin;Izv. Vyssh. Vchebn. Zaved. Mat.,1972

2. Hypersolvable and Supernilpotent radicals;Mlitz;Studio Sci. Math. Hungar.,1989

3. Radicals in near-rings;Kaarli;Tartu Riikl. Ul. Toimetised,1976

4. Classification of irreducible R-groups over a semiprimary near-ring;Kaarli;Tartu Riikl. Ül. Toimetised,1981

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. RICHARD WIEGANDT—65 YEARS FOR RADICAL THEORY;Quaestiones Mathematicae;1999-09

2. To the Abstract Theory of Radicals: A Contribution from Near-Rings;Theory of Radicals;1993

3. Near-ring radicals with hereditary semisimple classes;Archiv der Mathematik;1990-05

4. Sufficient conditions for a well-behaved Kurosh-Amitsur radical theory;Proceedings of the Edinburgh Mathematical Society;1989-10

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