1. Department of Mathematics , Makerere University , Kampala , Uganda ssevviiri@math.mak.ac.ug;3. Department of Mathematics and Applied Mathematics , Nelson Mandela Metropolitan University , Port Elizabeth , South Africa
Abstract:
We define nilpotent and strongly nilpotent elements of a module M and show that the set 𝒩s(M) of all strongly nilpotent elements of M over a commutative unital ring R coincides with the classical prime radical βcl(M) the intersection of all classical prime submodules of M.