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

3 votes

Applications of the prime avoidance lemma

Theorem. For a given commutative ring $R$, then $Min(R)$, the set of minimal prime ideals of $R$, is a finite set if and only if no minimal prime ideal of $R$ is contained in the union of the remainin …
Abolfazl Tarizadeh's user avatar