A homological dimension related to AB rings

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry（2018）

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摘要

There are many homological dimensions which are closely related to ring theoretic properties. The notion of a AB ring has been introduced by Huneke and Jorgensen. It has nice homological properties. In this paper, we shall define a homological dimension which is closely related to a AB ring, and investigate its properties.

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关键词

Auslander condition,AB ring,AB-dimension,CI-dimension,G-dimension,13D05,13H10,13D07

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