Article ID Journal Published Year Pages File Type
4596781 Journal of Pure and Applied Algebra 2010 10 Pages PDF
Abstract

The j-multiplicity is an invariant that can be defined for any ideal in a Noetherian local ring (R,m). It is equal to the Hilbert–Samuel multiplicity if the ideal is m-primary. In this paper we explore the computability of the j-multiplicity, giving another proof for the length formula and the additivity formula.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory