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Toward the construction of big Cohen-Macaulay modules

Published online by Cambridge University Press:  22 January 2016

Yuji Yoshino
Yuji Yoshino*
Affiliation:
Department of Mathematics, Nagoya University, Nagoya 464, Japan
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What we call the homological conjectures on commutative Noetherian local rings were first collected and partially settled by C. Peskine and L. Szpiro [PS1]. The subsequent remarkable progress was made by M. Hochster [H1] who conjectured the existence of big Cohen-Macaulay modules and solved it in the affirmative for equicharacteristic local rings. It is, however, still open in general setting.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 103 , October 1986 , pp. 95 - 125
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

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