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math.AC2007
Generic fiber of power series ring extensions
Tiberiu Dumitrescu
Let D be a Noetherian domain containing a field, d a nonzero nonunit of D and z an indeterminate over D. We prove that the generic fiber of D[1/d][[z]] over D[[z]] has dimension gr…
math.AC2007
Some applications of Andre-Quillen homology to classes of arithmetic rings
Tiberiu Dumitrescu, Cristodor Ionescu
We compute the first Andre-Quillen homology modules for the simple over-rings of integrally closed domains and study an ideal theoretic condition arising from the vanishing of the…