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

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...

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Published inAnalele 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
LanguageEnglish
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)
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Summary: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.
ISSN:1844-0835
1844-0835
DOI:10.2478/auom-2013-0009