Open AccessA radical for right near‐rings: The right Jacobson radical oftype‐0
Author(s) -
Ravi Srinivasa Rao,
K. Siva Prasad
Publication year - 2006
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms/2006/68595
Subject(s) - jacobson radical , radical , radical of a ring , mathematics , ring (chemistry) , ideal (ethics) , radical right , pure mathematics , principal ideal ring , chemistry , law , organic chemistry , commutative property , politics , commutative ring , political science
The notions of a right quasiregular element and rightmodular right ideal in a near-ring are initiated. Based on these J0r(R), the right Jacobson radical of type-0 of a near-ring R is introduced. It is obtained that J0r is a radical map and N(R)⊆J0r(R), where N(R) is the nil radical of a near-ring R. Some characterizations of J0r(R) are given and its relation with some of the radicals is also discussed
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