Extendibility criterion for a projective module of rank one over and
Authors: S. M. Bhatwadekar and P. L. N. Varma
Journal: Proc. Amer. Math. Soc. 119 (1993), 1069-1075
MSC: Primary 13C10; Secondary 13F20
MathSciNet review: 1156463
Abstract: In this note we give a criterion for a finitely generated projective module of constant rank one over or to be extended from in terms of invertible ideals, when is an integral domain. We show that if is an invertible ideal of or such that , then is extended from if and only if is an invertible ideal of .
-  N. Bourbaki, Commutative algebra, Addison-Wesley, Reading, MA, 1972.
- N. Bourbaki, Commutative algebra, Addison-Wesley, Reading, MA, 1972.