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P-STRONGLY REGULAR NEAR-RINGS
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 Title & Authors
P-STRONGLY REGULAR NEAR-RINGS
Dheena, P.; Jenila, C.;
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 Abstract
In this paper we introduce the notion of P-strongly regular near-ring. We have shown that a zero-symmetric near-ring N is P-strongly regular if and only if N is P-regular and P is a completely semiprime ideal. We have also shown that in a P-strongly regular near-ring N, the following holds: (i) + P is an ideal of N for any . (ii) Every P-prime ideal of N containing P is maximal. (iii) Every ideal I of N fulfills I + P
 Keywords
P-regular;P-strongly regular;P-prime ideal;completely semiprime ideal;
 Language
English
 Cited by
 References
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