TOWARD A THEORY OF WEAK I SEQUENCES

Citation:

Zhou Caijun.TOWARD A THEORY OF WEAK I SEQUENCES[J].Chinese Annals of Mathematics B,1997,18(3):283~292
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Authors:

Zhou Caijun;

Foundation:

the National Natural Science Foundation of China
Abstract: The author introduces a notion of weak $I$ sequences and characterizes such sequences by means of homological methods. This notion extends the notion of weak $M$-sequences and thus extends the notions of generalized Cohen-Macaulay modules and Buchsbaum modules to more general cases.

Keywords:

Noetherian local ring, Local cohomology group, Koszul homology group

Classification:

13C14, 13H10
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