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

• Published in: Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică Vol. 21; no. 1; pp. 153 - 166
• Main Authors: Rao, Ravi Srinivasa, Prasad, K. Siva
• Format: Journal Article
• Language: English
• Published: Sciendo 01.03.2013
• Subjects: hereditary radicals; ka-radicals; right jacobson radicals of type-1(e) and 2(e); right primitive ideals of type-1(e) and 2(e); right r-groups of type-1(e) and 2(e)

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 t...