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J. Korean Math. Soc. 1997; 34(4): 949-957

Printed December 1, 1997

Copyright © The Korean Mathematical Society.

Exactness theorem and poor M-cosequences

K. Khashyarmanesh and Sh. Salarian

Tarbiat Modarres University

Abstract

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The purpose of this paper is to establish connection between certain complex of modules of generalized fractions and the concept of cosequence in commutative algebra. The main theorem of the paper leads to characterization, in terms of modules of generalized fractions, of regular (co) sequences.

Keywords: poor M-sequences, poor $M$-cosequences, generalized fractions

MSC numbers: 13B30, 13B10

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