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Results tagged with ac.commutative-algebra
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user 51197
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
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Powers of elements in an Artinian Ring
Let $R$ be an local Artinian ring, with maximal ideal $\mathfrak{m}$.
Let $e$ be the smallest positive integer for which $\mathfrak{m}^e=(0)$.
Let $t$ be the smallest positive integer for which $x^t …
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