Katzman, M. orcid.org/0000-0001-7553-3520 and Zhang, W. (2019) Multiplicity bounds in prime characteristic. Communications in Algebra, 47 (6). pp. 2450-2456. ISSN 0092-7872
Abstract
We extend a result by Huneke and Watanabe bounding the multiplicity of F-pure local rings of prime characteristic in terms of their dimension and embedding dimensions to the case of F-injective, generalized Cohen–Macaulay rings. We then produce an upper bound for the multiplicity of any local Cohen–Macaulay ring of prime characteristic in terms of their dimensions, embedding dimensions and HSL numbers. Finally, we extend the upper bounds for the multiplicity of generalized Cohen–Macaulay rings in characteristic zero which have dense F-injective type.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 Taylor & Francis Group, LLC. This is an author-produced version of a paper subsequently published in Communications in Algebra. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | F-injective; multiplicity |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 25 Jun 2018 15:35 |
Last Modified: | 17 Nov 2020 15:24 |
Status: | Published |
Publisher: | Taylor and Francis |
Refereed: | Yes |
Identification Number: | 10.1080/00927872.2018.1513014 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:132231 |