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.
The tame and the wild automorphisms of polynomial rings in three variables
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.