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A KUROSH-AMITSUR LEFT JACOBSON RADICAL FOR RIGHT NEAR-RINGS
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 Title & Authors
A KUROSH-AMITSUR LEFT JACOBSON RADICAL FOR RIGHT NEAR-RINGS
Rao, Ravi Srinivasa; Prasad, K.Siva;
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 Abstract
Let R be a right near-ring. An R-group of type-5/2 which is a natural generalization of an irreducible (ring) module is introduced in near-rings. An R-group of type-5/2 is an R-group of type-2 and an R-group of type-3 is an R-group of type-5/2. Using it , the Jacobson radical of type-5/2, is introduced in near-rings and it is observed that . It is shown that is an ideal-hereditary Kurosh-Amitsur radical (KA-radical) in the class of all zero-symmetric near-rings. But is not a KA-radical in the class of all near-rings. By introducing an R-group of type-(5/2)(0) it is shown that , the corresponding Jacobson radical of type-(5/2)(0), is a KA-radical in the class of all near-rings which extends the radical of zero-symmetric near-rings to the class of all near-rings.
 Keywords
near-ring;R-groups of type-5/2 and (5/2)(0);Jacobson radicals of type-5/2 and (5/2)(0);
 Language
English
 Cited by
 References
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