On weak subintegrality

Abstract

In a previous paper the last two authors introduced a condition which gave an elementwise characterization of subintegrality for an extension A ⊆ 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 ⊆ 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.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1016/0022-4049(95)00157-3

Publication Date

12-31-1996

Journal Title

Journal of Pure and Applied Algebra

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