Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings

Ravi Srinivasa Rao, K. Siva Prasad and T. Srinivas

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-6

Abstract:

By a near-ring we mean a right near-ring. , the right Jacobson radical of type 0, was introduced for near-rings by the first and second authors. In this paper properties of the radical are studied. It is shown that is a Kurosh-Amitsur radical (KA-radical) in the variety of all near-rings , in which the constant part of is an ideal of . So unlike the left Jacobson radicals of types 0 and 1 of near-rings, is a KA-radical in the class of all zero-symmetric near-rings. is not -hereditary and hence not an ideal-hereditary radical in the class of all zero-symmetric near-rings.

Date: 2008
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2008/741609.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2008/741609.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:741609

DOI: 10.1155/2008/741609

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().