Let (R,𝔪) be a NoetherianPlanetmathPlanetmathPlanetmath local ringMathworldPlanetmath with proper idealMathworldPlanetmathPlanetmath I. Define


and call it the j-multiplicity of I. Here H𝔪0() is the 0-th local cohomology functor. When I is 𝔪-primary, it is same as the Hilbert-Samuel multiplicity eI(R).

Title j-multiplicity
Canonical name Jmultiplicity
Date of creation 2013-03-22 18:15:26
Last modified on 2013-03-22 18:15:26
Owner yshen (21076)
Last modified by yshen (21076)
Numerical id 6
Author yshen (21076)
Entry type Definition
Classification msc 13H15