On weak subintegrality Original Research Article

In a previous paper the last two authors introduced a condition which gave an elementwise characterization of subintegrality for an extension A subset of or equal to B of commutative Q-algebras. In the present paper we show that the same condition gives an elementwise characterization of weak subintegrality for an extension A subset of or equal to B of arbitrary commutative rings. We also give a new characterization of weakly subintegral elements in which the “coefficients” lie in A rather than B.