Michael Chitayat

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20192026

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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.AC2019

On the rigidity of certain Pham-Brieskorn rings

Michael Chitayat, Daniel Daigle

Fix a field $k$ of characteristic zero. If $a_{1}, ..., a_{n}$ ( $n > 2$ ) are positive integers, the integral domain $B = k [X_{1}, ..., X_{n}] / (X_{1}^{a_{1}} + ... + X_{n}^{a_{n}})$ is called a P…