Theorem

Finite generation of projective ideals

Let $I$ be an ideal of a commutative ring $R$. Then if $I$ is not contained in any minimal prime ideal, it is finitely generated.

Link: https://www.sciencedirect.com/science/article/pii/0021869373900458

Reference(s)

  • W. V. Vasconcelos. Finiteness in projective ideals. (1973) @ Proposition 1.1 p. 270