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math.AC2026
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…
math.AC2026
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…