6 citations · 15 across the 14 of their papers we have counts for
22 papers
Borel subgroups of the automorphism group of an affine variety
Michael Chitayat, Daniel Daigle, Andriy Regeta
We study Borel subgroups of the automorphism group of an affine variety X and their associated Lie algebras. We prove a bijective correspondence between the set of Borel subgroups…
Locally finite sets of derivations
Michael Chitayat, Daniel Daigle, Andriy Regeta
Given an algebra B over a field k, we study conditions under which a Lie subalgebra of Der(B) is locally finite as a set of derivations. As an application of our results, we show t…
Decorated trees
Pierrette Cassou-Noguès, Daniel Daigle
We study a class of combinatorial objects that we call "decorated trees". These consist of vertices, arrows and edges, where each edge is decorated by two integers (one near each o…
Rigidity of Graded Integral Domains and of their Veronese Subrings
Daniel Daigle
A ring R is said to be rigid if the only locally nilpotent derivation of R is the zero derivation. Let G be an abelian group, and B = (direct sum of B_i for i in G) be a G-graded c…
Locally nilpotent derivations of graded integral domains and cylindricity
Michael Chitayat, Daniel Daigle
Let B be a commutative -graded domain of characteristic zero. An element f of B is said to be cylindrical if it is nonzero, homogeneous of nonzero degree, and such that…
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…