Extendibility criterion for a projective module of rank one over and
S. M. Bhatwadekar and P. L. N. Varma
Proc. Amer. Math. Soc. 119 (1993), 1069-1075
Primary 13C10; Secondary 13F20
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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.
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