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.
Ideals, Varieties, and Algorithms, Third Edition, Undergraduate Texts in Mathematics
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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.