A radical for right near-rings: The right Jacobson radical of type-0
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Published:2006
Issue:
Volume:2006
Page:1-13
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ISSN:0161-1712
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Container-title:International Journal of Mathematics and Mathematical Sciences
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language:en
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Short-container-title:International Journal of Mathematics and Mathematical Sciences
Author:
Rao Ravi Srinivasa,Prasad K. Siva
Abstract
The notions of a right quasiregular element and right modular right ideal in a near-ring are initiated. Based on theseJ0r(R), the right Jacobson radical of type-0 of a near-ringRis introduced. It is obtained thatJ0ris a radical map andN(R)⊆J0r(R), whereN(R)is the nil radical of a near-ringR. Some characterizations ofJ0r(R) are given and its relation with some of the radicals is also discussed.
Funder
University Grants Commission
Publisher
Hindawi Limited
Subject
Mathematics (miscellaneous)
Reference4 articles.
1. Matrix near-rings
2. North-Holland Mathematics Studies,1983
Cited by
1 articles.
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1. Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings;International Journal of Mathematics and Mathematical Sciences;2008