Over a finite field, every multivariate skew polynomial ring is isomorphic, via an affine change of variables, to a diagonal zero-derivation ring, with isomorphism classes determined by the multiset of Frobenius automorphisms.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RA 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables
Over a finite field, every multivariate skew polynomial ring is isomorphic, via an affine change of variables, to a diagonal zero-derivation ring, with isomorphism classes determined by the multiset of Frobenius automorphisms.