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Bull. Korean Math. Soc. 1999; 36(2): 239-246

Printed June 1, 1999

Copyright © The Korean Mathematical Society.

Some remarks on ding's vanishing theorem of $\delta$-invariant and monomial conjecture

Ki Suk Lee

Sookmyung Women's University

Abstract

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We extend the Ding's vanishing theorem of $\delta$-invariant slightly on a Cohen-Macaulay local ring using the concept of Golod pairs. We also investigate the relation between the vanishing of $\delta$-invariant and Hochster's Monomial Conjecture.

Keywords: Auslander $\delta$-invariant, Golod pair, Monomial Conjecture

MSC numbers: 13H10, 13C14, 13D02

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