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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
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Has this notion of powers of ideals already appeared in the literature?
Sorry, this $I^{<n>}$ is just the $n$-th symbolic power of the ideal, as defined in Vasconcelos book Computational Methods in Commutative Algebra and Algebraic Geometry, see Definition 3.5.1.
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Has this notion of powers of ideals already appeared in the literature?
My question is whether the below notion of powers of ideals, which may be regarded as a weakening of the notion of symbolic power, has been already defined in the literature and, in that case, I ask f …