Colength,multiplicity, and ideal closure operations |
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| Authors: | Linquan Ma Pham Hung Quy Ilya Smirnov |
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| Institution: | 1. Department of Mathematics, Purdue University, West Lafayette, Indiana, USA;2. ma326@purdue.edu;4. Department of Mathematics, FPT University, and Thang Long Institute of Mathematics and Applied Sciences, Hanoi, Vietnam;5. Department of Mathematics, Stockholm University, Stockholm, Sweden |
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| Abstract: | AbstractIn a formally unmixed Noetherian local ring, if the colength and multiplicity of an integrally closed ideal agree, then R is regular. We deduce this using the relationship between multiplicity and various ideal closure operations. |
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| Keywords: | Hilbert–Samuel multiplicity integral closure limit closure |
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