4 papers · 1 filter
Fundamental Results on -Closures
William D. Taylor
This paper establishes the fundamental properties of the -closures, a recently introduced family of closure operations on ideals of rings of positive characteristic. The behavio…
On Lower Bounds for -multiplicities
Lance Edward Miller, William D. Taylor
A recent continuous family of multiplicity functions on local rings was introduced by Taylor interpolating between Hilbert-Samuel and Hilbert-Kunz multiplicities. The obvious goal…
The s-multiplicity function of 2x2-determinantal rings
Lance Edward Miller, William D. Taylor
This article generalizes joint work of the first author and I. Swanson to the -multiplicity recently introduced by the second author. For a field and a $m \…
Interpolating Between Hilbert-Samuel and Hilbert-Kunz Multiplicity
William D. Taylor
We define a function, called s-multiplicity, that interpolates between Hilbert-Samuel multiplicity and Hilbert-Kunz multiplicity by comparing powers of ideals to the Frobenius powe…