چكيده فارسي :
In this paper we study the ideal theory of maximal subring in
general rings. If S is a maximal subring of a ring R, then we
study the relation between Max(S), Min(S), Spec(S), J(S),
Nil_*(S), Nil^*(S) and those of them for R. In particular
in left Artinian and left Noetherian rings.