English

Computing j-multiplicity

Commutative Algebra 2008-07-01 v1

Abstract

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

Keywords

Cite

@article{arxiv.0806.4820,
  title  = {Computing j-multiplicity},
  author = {Koji Nishida and Bernd Ulrich},
  journal= {arXiv preprint arXiv:0806.4820},
  year   = {2008}
}

Comments

15 pages

R2 v1 2026-06-21T10:55:44.038Z