The irreducible multiplicity and Ulrich modules
Tran Nguyen An, Shinya Kumashiro
TL;DR
This paper explores the relationship between Hilbert and irreducible multiplicities and characterizes Ulrich modules using irreducible multiplicity, providing new insights into their algebraic properties.
Contribution
It introduces a novel relation between Hilbert and irreducible multiplicities and characterizes Ulrich modules through irreducible multiplicity for the first time.
Findings
Established a relation between Hilbert and irreducible multiplicities.
Characterized Ulrich modules via irreducible multiplicity.
Provided new tools for studying module properties.
Abstract
In this paper, we give a relation between the Hilbert multiplicity and the irreducible multiplicity. As an application, we characterize Ulrich modules in term of the irreducible multiplicity.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Advanced Differential Equations and Dynamical Systems · Polynomial and algebraic computation