Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings
Joint Authors
Rao, Ravi Srinivasa
Prasad, K. Siva
Srinivas, T.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2007-12-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
By a near-ring we mean a right near-ring.
J0r, 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 J0r are studied.
It is shown that J0r is a Kurosh-Amitsur radical (KA-radical) in the variety of all near-rings R, in which the constant part Rc of R is an ideal of R.
So unlike the left Jacobson radicals of types 0 and 1 of near-rings, J0r is a KA-radical in the class of all zero-symmetric near-rings.
J0r is not s-hereditary and hence not an ideal-hereditary radical in the class of all zero-symmetric near-rings.
American Psychological Association (APA)
Rao, Ravi Srinivasa& Prasad, K. Siva& Srinivas, T.. 2007. Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-6.
https://search.emarefa.net/detail/BIM-987903
Modern Language Association (MLA)
Rao, Ravi Srinivasa…[et al.]. Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-6.
https://search.emarefa.net/detail/BIM-987903
American Medical Association (AMA)
Rao, Ravi Srinivasa& Prasad, K. Siva& Srinivas, T.. Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings. International Journal of Mathematics and Mathematical Sciences. 2007. Vol. 2008, no. 2008, pp.1-6.
https://search.emarefa.net/detail/BIM-987903
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987903