We give a counterexample to a conjecture posed by S. Ding in [4] 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 generalised Loewy length 6. (C) 2016 Elsevier Inc. All rights reserved.
A counterexample to a conjecture of Ding
De Stefani A
2016-01-01
Abstract
We give a counterexample to a conjecture posed by S. Ding in [4] 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 generalised Loewy length 6. (C) 2016 Elsevier Inc. All rights reserved.
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