Bounds for the first Hilbert coefficients of {mathfrak m}-primary ideals
classification
🧮 math.AC
keywords
mathfrakcoefficientsfirsthilbertidealsprimaryboundscharacterize
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This paper purposes to characterize Noetherian local rings $(A, {\mathfrak m})$ of positive dimension such that the first Hilbert coefficients of ${\mathfrak m}$-primary ideals in $A$ range among only finitely many values. Examples are explored.
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