- Volume 18 Issue 1
LOWER FORMATION RADICAL FOR NEAR RINGS
- Saxena, P.K. (Indian Institute of Technology) ;
- Bhandari, M.C. (Indian Institute of Technology)
- Published : 1978.06.20
In [7) Scott has defined C-formation radical for a class C of near rings and has studied its porperties under chain conditions. A natural question that arises is: Does there exist a Lower C-Formation radical class L(M) containing a given class M of ideals of near rings in C? In this paper we answer this by giving. two constructions for L(M) and prove that prime radical is hereditary.