(FC)-Sequences, Mixed Multiplicities and Reductions of Modules

Abstract

Let $(R,\mathfrak{m})$ be a Noetherian local ring. In this work we use the notion of (FC)-sequences, as defined in \cite{perez-bedregal1}, to present some results concerning reductions and the positivity of mixed multiplicities of a finite collection of arbitrary submodules of $R^p.$ We also investigate the length of maximal (FC)-sequences. We actually work in the more general context of standard graded $R$-algebras.

25 pages

References in corpus (1)

• Mixed multiplicities of arbitrary modules

Cited by in corpus (3)

• A Note on Formulas Transmuting Mixed Multiplicities
• A Survey of Some Results for Mixed Multiplicities
• The Euler-Poincare characteristic and mixed multiplicities