Bounds for the first Hilbert coefficients of $\mathfrak{m}$-primary ideals

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.

8 pages, and the title of this article was changed on 21, Dec, 2013