The weak subintegral closure of an ideal Original Research Article

For an ideal I of a ring A, we introduce the notion of the weak subintegral closure of I in an extension B of A. This gives an ideal of the weak normalization of A in B and enables us to identify the homogeneous components of the weak normalization of the Rees ring A[It] in B[t]. We get a new closure operator on ideals of A by considering the weak subintegral closure in A.