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arxiv: 1506.09168 · v2 · pith:AY4G3D2Wnew · submitted 2015-06-30 · 🧮 math.AC

A counterexample to a conjecture of Ding

classification 🧮 math.AC
keywords conjecturecounterexampledingindexlocalcompletedimensiondimensional
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We give a counterexample to a conjecture posed by S. Ding regarding the index of a Gorenstein local ring by exhibiting several examples of one dimensional local complete intersections of embedding dimension three with index 5 and generalized L\"oewy length 6.

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