RINGS SATISFYING THE RADICAL FORMULA OF DEGREE K

In this paper we discuss the behavior of the nth evelope of a submodule under epimorphisms. We also investigate some sufficient conditions under which a Ring satisfies the radical formula of degree k, for some positive integerk. In the second part we show that a valuation ring of dimension k. satisties the radical formula of degree k.

Keywords:

envelope , radical of a submodule , radical formula , valuation rings