1 citations · 1 across the 8 of their papers we have counts for
11 papers
About the Cohen-Macaulay defect and almost Cohen-Macaulay rings
Cristodor Ionescu
We notice the connection between almost Cohen-Macaulay rings and the Cohen-Macaulay defect. We introduce a Serre-type condition for modules, that is connected to the Cohen-Macaulay…
A locally F-finite Noetherian domain that is not F-finite
Tiberiu Dumitrescu, Cristodor Ionescu
Using an old example of Nagata, we construct a Noetherian ring of prime characteristic p, whose Frobenius morphism is locally finite, but not finite.
Finite generation of Andre-Quillen (co-)homology of F-finite algebras
Cristodor Ionescu
We prove that the Andre-Quillen homology and cohomology modules of F-finite Z(p)-algebras are finitely generated.
Tensor products and direct limits of almost Cohen-Macaulay modules
Cristodor Ionescu, Samaneh Tabejamaat
We investigate the almost Cohen-Macaulay property and the Serre-type condition for noetherian algebras and modules. More precisely, we find permanence pro…
Flat local morphisms of rings with prescribed depth and dimension
Cristodor Ionescu
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…
More properties of almost Cohen-Macaulay rings
Cristodor Ionescu
Some interesting properties of almost Cohen-Macaulay rings are investigated and a Serre type property connected with this class of rings is studied.