On weak subintegrality

Authors

Les Reid, Missouri State UniversityFollow
Leslie G. Roberts
Balwant Singh

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

Recommended Citation

Reid, Les, Leslie G. Roberts, and Balwant Singh. "On weak subintegrality." Journal of Pure and Applied Algebra 114, no. 1 (1996): 93-109.

Journal Title

Journal of Pure and Applied Algebra