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Results tagged with ac.commutative-algebra
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user 520678
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
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Property of a commutative ring that is determined by the prime ideals of the ring
Proposition 1.2.10(a) in "Cohen–Macaulay Rings" by W. Bruns, H.J. Herzog: if $R$ is a Noetherian ring, $I$ an ideal of $R$, and $M$ a finite $R$-module, then
$$\operatorname{grade} (I,M)= \inf \{\oper …
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