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On the Cohen-Macaulayfication of certain Buchsbaum rings

Published online by Cambridge University Press:  22 January 2016

Shiro Goto
Shiro Goto*
Affiliation:
Department of Mathematics, Nihon University
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Let A be a Noetherian local ring of dimension d and with maximal ideal m. Then A is called Buchsbaum if every system of parameters is a weak sequence. This is equivalent to the condition that, for every parameter ideal q, the difference is an invariant I(A) of A not depending on the choice of q. (See Section 2 for the detail.) The concept of Buchsbaum rings was introduced by Stückrad and Vogel [8], and the theory of Buchsbaum singularities is now developing (cf. [6], [7], [9], [10], and [12]).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 80 , December 1980 , pp. 107 - 116
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

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