A Note on Formulas Transmuting Mixed Multiplicities
Duong Quoc Viet, Truong Thi Hong Thanh
TL;DR
This paper explores formulas linking mixed multiplicities of modules and rings, emphasizing the role of module rank in establishing these relationships, contributing to algebraic multiplicity theory.
Contribution
It introduces new formulas connecting mixed multiplicities of modules and rings through the concept of module rank.
Findings
Derived formulas for mixed multiplicities involving module rank
Clarified the relationship between module and ring multiplicities
Enhanced understanding of multiplicity transmutation in algebra
Abstract
This paper establishes mixed multiplicity formulas concerning the relationship between mixed multiplicities of modules and mixed multiplicities of rings via rank of modules.
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