论文标题
在古利克森的定理上，在本地戒指的同源性上
On a theorem of Gulliksen on the homology of local rings
论文作者
论文摘要
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 André-Quillen homology modules $H_2(A,l,l)\to h_2（b，l，l）$是注入式的。
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 André-Quillen homology modules $H_2(A,l,l)\to H_2(B,l,l)$ is injective.
