<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Department of Mathematics, R. V. R. & J. C. College of Engineering, Chandramoulipuram, Chowdavaram, Guntur-522019, Andhra Pradesh, India

Department of Mathematics, Acharya Nagarjuna University, Nagarjunanagar-522510, Guntur (Dist.), Andhra Pradesh, India

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Hereditary right Jacobson radicals of type-1(e) and 2(e) for right near-rings"}

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....

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

Published Online: Jul 30, 2013

Page range: 153 - 166

DOI: https://doi.org/10.2478/auom-2013-0009

This content is open access.