Results 161 to 170 of about 203 (191)

On generalized semiderivations in 3-prime near-rings

Asian-European Journal of Mathematics, 2016
There is a large body of evidence showing that the existence of a suitably-constrained derivation on a 3-prime near-ring forces the near-ring to be a commutative ring. The purpose of this paper is to study generalized semiderivations which satisfy certain identities on 3-prime near-ring and generalize some results due to [H. E. Bell and G.
Boua, A., Oukhtite, L., Raji, A.
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A generalization of prime ideals in near-rings

Communications in Algebra, 1984
(1984). A generalization of prime ideals in near-rings. Communications in Algebra: Vol. 12, No. 15, pp. 1835-1853.
N.J. Groenewald, P.C. Potgieter
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Strongly Prime Near-Ring Modules

Arabian Journal for Science and Engineering, 2011
We introduce the notion of a strongly prime near-ring module and then characterize strongly prime near-rings in terms of strongly prime modules. Furthermore, we define a \({\mathcal{T}}\)-special class of near-ring modules and then show that the class of strongly prime modules forms a \({\mathcal{T}}\)-special class.
S. Juglal, N. J. Groenewald
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On Prime and Semiprime Near-Rings with Generalized Derivation

Quaestiones Mathematicae, 2010
Click on the link to view the abstract.
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On the f-Prime Radical of Near-Rings

2005
The f-prime radical rf of 0-symmetric near-rings is an idempotent Hoehnke radical; either rf(N)=0 or rf(N)=β(N) the prime radical. The radical classes of rf and β coincide. In a universal class of near-rings, if the f-prime radical is complete then rf=β.
Satyanarayana Bhavanari, Richard Wiegandtt   +1 more
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The completely prime radical in near-rings

Acta Mathematica Hungarica, 1988
Completely prime ideals have been studied in the case of associative rings by \textit{V. A. Andrunakievich} and \textit{Yu. M. Ryabukhin} [Dokl. Akad. Nauk SSSR 180, 9-11 (1968); English translation in Sov. Math., Dokl. 9, 565-568 (1968; Zbl 0174.328)] and also by \textit{N. H. McCoy} [Colloq. Math. Soc. János Bolyai 6, 147-152 (1973; Zbl 0262.16034)].
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ON P-3-PRIME AND P-c-PRIME IDEALS IN NEAR-RINGS

JP Journal of Algebra, Number Theory and Applications, 2019
Summary: In this study, we introduce the concept of \(P\)-3-prime ideal for an ideal \(P\) of a near-ring. Then, the relations between \(P\)-3-prime ideal and \(P\)-\(c\)-prime ideal are obtained. It is proved that a \(P\)-\(c\)-prime ideal is a \(P\)-3-prime ideal. But, in general, the converse relation does not hold.
Taşdemir, Funda, Taştekin, İsmail
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Primeness and Radicals in Near-Rings of Continuous Functions

2005
This paper deals with primeness in the near-ring \(N(G)\) of all continuous functions of \(G\) and characterizes the various prime radicals in certain cases; the author studies primeness in the sandwich near-ring \(N(X,G,\theta)\), where \(X\) is a topological space, \(G\) a topological groups, and \(\theta\colon G\longrightarrow X\) is a continuous ...
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LEFT MULTIPLIERS IN A 3-PRIME NEAR-RING

JP Journal of Algebra, Number Theory and Applications, 2021
Mouhssine, Samir, Boua, Abdelkarim
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Strongly prime near-rings 2

Communications in Algebra, 1989
by N. J. GROENEWALD(Received 24th October 1985, revised 22nd July 1987)1. IntroductionStrongly prime rings were introduced by Handelman and Lawrence [5] and in [2]Groenewald and Heyman investigated the upper radical determined by the class of allstrongly prime rings. In this paper we extend the concept of strongly prime to near-rings.
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