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ON THE CONJECTURE OF VASCONCELOS FOR ARTINIAN ALMOST COMPLETE INTERSECTION MONOMIAL IDEALS

Published online by Cambridge University Press:  10 December 2019

KUEI-NUAN LIN
Affiliation:
Department of Mathematics, The Penn State University, Greater Allegheny Campus, McKeesport, PA, 15132, USA email [email protected]
YI-HUANG SHEN
Affiliation:
Key Laboratory of Wu Wen-Tsun Mathematics, Chinese Academy of Sciences, School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui, 230026, P.R. China email [email protected]

Abstract

In this short note, we confirm a conjecture of Vasconcelos which states that the Rees algebra of any Artinian almost complete intersection monomial ideal is almost Cohen–Macaulay.

Type
Article
Copyright
© 2019 Foundation Nagoya Mathematical Journal

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