Author:
G. L. Booth Nelson Mandela Metropolitan University, Port Elizabeth 6000, South Africa

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Abstract

In a previous work [3], the current author, together with P. R. Hall, studied various kinds of primeness in near-rings and sandwich near-rings of continuous functions. In this paper, we study various prime radicals for sandwich near-rings. In certain cases, complete characterisations of the prime, 3-prime, equiprime and strongly equiprime radicals are obtained.

  • [1] Booth, G. L. 2005 Primeness in near-rings of continuous functions II Beiträge Alg. Geom. 46 207214.

  • [2] Booth, G. L. 2010 Strongly prime ideals of near-rings of continuous functions Huynh, Dinh Vanh, López-Permouth, Sergio R. (eds.) Advances in Ring Theory Proceedings of the Jain Conference Athens OH June 2008 Birkhäuser/Springer Basle 6368 .

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  • [3] Booth, G. L., Hall, P. R. 2004 Primeness in near-rings of continuous functions Beiträge Alg. Geom. 45 2127.

  • [4] Booth, G. L., Groenewald, N. J., Veldsman, S. 1990 A Kurosh–Amitsur prime radical for near-rings Comm. in Algebra 18 31113122 .

  • [5] Groenewald, N. J. 1988 Strongly prime near-rings Proc. Edinburgh Math. Soc. 31 337343 .

  • [6] Magill, K. D., Near-rings of continuous self-maps: a brief survey and some open problems, Proc. Conf. San Bernadetto del Tronto (1981), pp. 2547.

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  • [7] Magill, K. D. 1997 A survey of topological nearrings and nearrings of continuous functions Proc. Tenn. Top. Conf. World Scientific Pub. Co. Singapore 121140.

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  • [8] Pilz, G. 1983 Near-rings 2 North-Holland Amsterdam.

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
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 0236-5294 (Print)
ISSN 1588-2632 (Online)

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