FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 171-177

Monomial conjecture and Buchsbaum modules

V. I. Levankov

Abstract

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In this article the maximum Buchsbaum modules are under review. We investigate the characteristics of submodules with respect to systems of parameters which generalize the properties of parameter ideals in the local Buchsbaum ring. We prove the monomial conjecture for the local rings for which maximum Buchsbaum modules exist.

All articles are published in Russian.

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Last modified: April 11, 2000