Some properties of non-commutative regular graded rings - Université de Bretagne Occidentale
Journal Articles Glasgow Mathematical Journal Year : 2009

Some properties of non-commutative regular graded rings

Abstract

Let A be a noetherian ring. When A is commutative (of finite Krull dimension), A is said to be Gorenstein if its injective dimension is finite. If A has finite global dimension, one says that A is regular. If A is arbitrary, these hypotheses are not sufficient to obtain similar results to those of the commutative case. To remedy this problem, M. Auslander has introduced a supplementary condition. Before stating it, we recall that the grade of a finitely generated (left or right) module is defined by

Dates and versions

hal-04722999 , version 1 (06-10-2024)

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Cite

Thierry Levasseur. Some properties of non-commutative regular graded rings. Glasgow Mathematical Journal, 2009, 34 (3), pp.277-300. ⟨10.1017/S0017089500008843⟩. ⟨hal-04722999⟩
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