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

Autor: Ravi Srinivasa Rao, K. Siva Prasad
Jazyk: angličtina
Rok vydání: 2006
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
DOI: 10.1155/IJMMS/2006/68595
Popis: The notions of a right quasiregular element and right modular 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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