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DC Field | Value | Language |
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dc.contributor.author | Strazzanti, Francesco | - |
dc.contributor.author | Zarzuela, Santiago | - |
dc.date.accessioned | 2023-02-13T19:02:28Z | - |
dc.date.available | 2023-02-13T19:02:28Z | - |
dc.date.issued | 2022-04 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://hdl.handle.net/2445/193549 | - |
dc.description.abstract | Given a commutative local ring $(R, \mathfrak{m})$ and an ideal $I$ of $R$, a family of quotients of the Rees algebra $R[I t]$ has been recently studied as a unified approach to the Nagata's idealization and the amalgamated duplication and as a way to construct interesting examples, especially integral domains. When $R$ is noetherian of prime characteristic, we compute the HilbertKunz function of the members of this family and, provided that either $I$ is $\mathfrak{m}$-primary or $R$ is regular and F-finite, we also find their Hilbert-Kunz multiplicity. Some consequences and examples are explored. | - |
dc.format.extent | 11 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Mathematical Society (AMS) | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1090/proc/15819 | - |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 2022, vol. 150, num. 4, p. 1493-1503 | - |
dc.relation.uri | https://doi.org/10.1090/proc/15819 | - |
dc.rights | cc-by-nc-nd (c) American Mathematical Society (AMS), 2022 | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Anells locals | - |
dc.subject.classification | Àlgebra commutativa | - |
dc.subject.classification | Àlgebra homològica | - |
dc.subject.other | Local rings | - |
dc.subject.other | Commutative algebra | - |
dc.subject.other | Homological algebra | - |
dc.title | The Hilbert-Kunz function of some quadratic quotients of the Rees algebra | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 713909 | - |
dc.date.updated | 2023-02-13T19:02:28Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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713909.pdf | 234.11 kB | Adobe PDF | View/Open |
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