A radical for right near-rings: The right Jacobson radical of type-0

Ravi Srinivasa Rao and K. Siva Prasad

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-13

Abstract:

The notions of a right quasiregular element and right modular right ideal in a near-ring are initiated. Based on these J 0 r ( R ), the right Jacobson radical of type-0 of a near-ring R is introduced. It is obtained that J 0 r is a radical map and N ( R ) ⊆ J 0 r ( R ) , where N ( R ) is the nil radical of a near-ring R . Some characterizations of J 0 r ( R ) are given and its relation with some of the radicals is also discussed.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:068595

DOI: 10.1155/IJMMS/2006/68595

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