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arXiv · 2207.02153

On a theorem of Gulliksen on the homology of local rings

Samuel Alvite·Nerea G. Barral·Javier Majadas
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Abstract

We show that a modification of the proof of a result of Gulliksen gives an elementary proof of the following important theorem by Avramov: if $(A,k) \to (B,l)$ is a homomorphism of noetherian local rings and $B$ is of finite flat dimension over $A$, then the homomorphism induced in Andr\'e-Quillen homology modules $H_2(A,l,l)\to H_2(B,l,l)$ is injective.

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Samuel Alvite, Nerea G. Barral, Javier Majadas. 2022-07-05. On a theorem of Gulliksen on the homology of local rings. https://arxiv.org/abs/2207.02153

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