Proves Frost and Storey's conjecture for multivariate polynomial matrices: equivalence to Smith normal form holds iff reduced minors of each order generate the unit ideal, with extension via ring automorphisms.
Equivalence of matrices over R [s,z] : a counter-example
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Matrix equivalence to Smith normal form: new theoretical results for multivariate polynomial matrices
Proves Frost and Storey's conjecture for multivariate polynomial matrices: equivalence to Smith normal form holds iff reduced minors of each order generate the unit ideal, with extension via ring automorphisms.