Periodica Mathematica Hungarica
Volume/Issue:
Volume 22: Issue 3
Notes on Brown-McCoy-radicals for Γ-near-rings
Author:
G. L. Booth Department of Mathematics University of Transkei Private Bag x1 Unitra, Umtata Transkei South Africa

Search for other papers by G. L. Booth in
Current site
Google Scholar
PubMed Close
Pages:
175–182
Online Publication Date:
02 Aug 2005
Publication Date:
01 Jun 1991
Article Category:
Research Article
DOI:
https://doi.org/10.1007/bf01960507
Restricted access

The Brown-McCoy radical is known to be an ideal-hereditary Kurosh-Amitsur radical in the variety of zerosymmetric near-rings. We define the Brown-McCoy and simplical radicals, and , respectively, for zerosymmetric Γ-near-rings. Both and are ideal-hereditary Kurosh-Amitsur radicals in that variety. IfM is a zerosymmetric Γ-near-ring with left operator near-ringL, it is shown that , with equality ifM has a strong left unity. is extended to the variety of arbitrary near-rings, and and are extended to the variety of arbitrary Γ-near-rings, in a way that they remain Kurosh-Amitsur radicals. IfN is a near-ring andA ⊲N, then , with equality ifA if left invariant.

  • Collapse
  • Expand
Cover Periodica Mathematica Hungarica
Periodica Mathematica Hungarica
Print ISSN:
0031-5303
Online ISSN:
1588-2829

To see the editorial board, please visit the website of Springer Nature.

Manuscript Submission: HERE

For subscription options, please visit the website of Springer Nature.

Periodica Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1971
Volumes
per Year		 2
Issues
per Year		 4
Founder Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's
Address		 H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0031-5303 (Print)
ISSN 1588-2829 (Online)

Monthly Content Usage

Abstract Views Full Text Views PDF Downloads
Jun 2023 0 0 0
Jul 2023 2 0 0
Aug 2023 3 0 0
Sep 2023 1 0 0
Oct 2023 0 0 0
Nov 2023 3 0 0
Dec 2023 2 1 0