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

Ravi Srinivasa Rao; K. Siva Prasad

doi:10.2478/auom-2013-0009

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 21 (2013): Issue 1 (March 2013)

By: Ravi Srinivasa Rao and K. Siva Prasad

Open Access

|Jul 2013

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.

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