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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.

3 votes
3 answers
1k views

Height of ideal in graded ring

I have asked this question on MS however I did not receive any answer. Please help me to solve it. Thank you very much! Let $R$ is a commutative Noetherian graded ring and $I$ is an ideal of $R$, $I' …
2 votes
2 answers
1k views

Radical of annihilator of a module

I met the following problem when I studied graded ring theory. I have no idea to solve it. Please help me. Thank you very much ! Let $R$ be a commutative graded ring, $M$ is a graded R-module, $N$ is …