【摘要】 建立了Noether环上的正则序列理论向一般模上的推广 ,并由此得到著名的Auslander-Buchsbaum等式。更多还原

【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.更多还原