Hereditary right Jacobson radicals of type-1(e) and 2(e) for right near-rings

Rao, Ravi Srinivasa; Prasad, K. Siva

doi:10.2478/auom-2013-0009

Abstract

Near-rings considered are right near-rings. In this paper two more radicals, the right Jacobson radicals of type-1(e) and 2(e), are introduced for near-rings. It is shown that they are Kurosh-Amitsur radicals (KAradicals) in the class of all near-rings and are ideal-hereditary radicals in the class of all zero-symmetric near-rings. Different kinds of examples are also presented.

References

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Hereditary right Jacobson radicals of type-1(e) and 2(e) for right near-rings

Abstract

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