M. Ferrari

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math.AC2023

Mixed multiplicity and Converse of Rees' theorem for modules

M. D. Ferrari, V. H. Jorge-Perez, L. C. Merighe

In this paper, we prove the converse of Rees' mixed multiplicity theorem for modules, which extends the converse of the classical Rees' mixed multiplicity theorem for ideals given…

math.AC2023

On Coefficient Module of Arbitrary Modules

M. D. Ferrari, V. H. Jorge Perez, P. H. Lima

Let $(R, m)$ be a $d$ -dimensional Noetherian local ring that is formally equidimensional, and let $M$ be an arbitrary $R$ -submodule of the free module $F = R^{p}$ with an…