Abstract
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 to illustrate our theorems.
Citation
Asuki KOURA. Naoki TANIGUCHI. "Bounds for the First Hilbert Coefficients of $\m$-primary Ideals." Tokyo J. Math. 38 (1) 125 - 133, June 2015. https://doi.org/10.3836/tjm/1428412567
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