Zhao Yicai
Abstract
The theory of regular sequences on Noetherian modules over any ring has been developed in this paper. As an application of this theory, the well-known Auslander-Buchsbaum equalities on regular local rings are generalized to any noetherian ring and some coherent weak-semilocal rings.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The theory of regular sequences on Noetherian modules over any ring has been developed in this paper. As an application of this theory, the well-known Auslander-Buchsbaum equalities on regular local rings are generalized to any noetherian ring and some coherent weak-semilocal rings.
Key concepts: Noetherian, Local ring, Noetherian ring, Mathematics, Ring (chemistry), Pure mathematics, Projective module, Radical of a ring