Flat local morphisms of rings with prescribed depth and dimension
classification
🧮 math.AC
keywords
depthlocalflatringsconditionsconstructdimensionintegers
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For pairs of integers (n,m) and (d,e) satisfying some nedesary conditions, we construct a local flat ring morphism of noetherian local rings u:A -->B such that dim(A)=n, depth(A)=d, dim(B)=m, depth(B)=e.
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