852 research outputs found
Reflexivity revisited
We study some aspects of reflexive modules. For example, we search conditions
for which reflexive modules are free or being very close to free modules
On the notion of Cohen-Macaulayness for non Noetherian rings
There exist many characterizations of Noetherian Cohen-Macaulay rings in the
literature. These characterizations do not remain equivalent if we drop the
Noetherian assumption. The aim of this paper is to provide some comparisons
between some of these characterizations in non Noetherian case. Toward solving
a conjecture posed by Glaz, we give a generalization of the Hochster-Eagon
result on Cohen-Macaulayness of invariant rings, in the context of non
Noetherian rings.Comment: 2
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