8 citations · 21 across the 14 of their papers we have counts for
4 papers · 1 filter
Automorphisms of the ring of invariants of the binary quintic representation of SL2
Daniel Daigle, Gene Freudenburg
Let k^[6] denote a polynomial ring in 6 variables over an algebraically closed field k of characteristic zero and consider the action of SL2(k) on k^[6] induced by the irreducible…
Generalizations of Samuel's criteria for a ring to be a unique factorization domain
Daniel Daigle, Gene Freudenburg, Takanori Nagamine
We give several criteria for a ring to be a UFD including generalizations of some criteria due to P. Samuel. These criteria are applied to construct, for any field k, (1) a Z-grade…
An affine version of a theorem of Nagata
Gene Freudenburg
Let R be an affine k-domain over the field k. The paper's main result is that, if R admits a non-trivial embedding in a polynomial ring K[s] for some field K containing k, then R c…
Laurent cancellation for rings of transcendence degree one
Gene Freudenburg
If is an integral domain and is an -algebra, then has the {\it Laurent cancellation property over } if implies ($n\ge…