Abstract
Let be a Buchsbaum local ring with the maximal ideal and let denote the multiplicity of . Let be a parameter ideal in and put : . Then the equality holds true, if and . The assertion is no longer true, unless . Counterexamples are given.
Citation
Shiro GOTO. Hideto SAKURAI. "The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two." J. Math. Soc. Japan 56 (4) 1157 - 1168, October, 2004. https://doi.org/10.2969/jmsj/1190905453
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