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

2011/09/23 by R. Callejas-Bedregal, Callejas-Bedregal, R., V. H. Jorge Pérez +1
Mathematics · #13H15 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1109.5058

openalex publication_date 2011/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let (R, \mathfrak m) be a Noetherian local ring. In this work we use the notion of (FC)-sequences, as defined in \citeperez-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.

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