On Generators of the Hilbert Ideal for Cyclic Groups in Modular Invariant Theory
| dc.contributor.author | Erkuş, DENİZ ERDEMİRCİ | |
| dc.contributor.author | Madran, Ugur | |
| dc.date.accessioned | 2023-06-16T14:11:07Z | |
| dc.date.available | 2023-06-16T14:11:07Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | Let G be a cyclic group of order p(2) and V be a faithful indecomposable representation of G over a field F of characteristic p. We show that the Hilbert ideal of the invariant ring is generated by polynomials of degree at most |G| whenever dim V <= 4p or dim V >= p(2) - 2p, proving a conjecture of Derksen and Kemper in this particular case. (C) 2014 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | TUBITAK | en_US |
| dc.description.sponsorship | The first author is supported in part by TUBITAK. | en_US |
| dc.identifier.doi | 10.1016/j.jalgebra.2014.10.002 | |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.issn | 1090-266X | |
| dc.identifier.scopus | 2-s2.0-84908570184 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jalgebra.2014.10.002 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1273 | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press Inc Elsevier Science | en_US |
| dc.relation.ispartof | Journal of Algebra | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Modular invariant theory | en_US |
| dc.subject | Polynomial invariants | en_US |
| dc.subject | Noether number | en_US |
| dc.subject | Hilbert ideal | en_US |
| dc.subject | Vector Invariants | en_US |
| dc.subject | Finite-Groups | en_US |
| dc.subject | Prime-Order | en_US |
| dc.subject | Representations | en_US |
| dc.subject | Fields | en_US |
| dc.subject | Rings | en_US |
| dc.title | On Generators of the Hilbert Ideal for Cyclic Groups in Modular Invariant Theory | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Madran, Ugur/0000-0002-3817-1740 | |
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| gdc.author.wosid | Madran, Ugur/GLS-1002-2022 | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Erkus, Deniz Erdemirci; Madran, Ugur] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey | en_US |
| gdc.description.endpage | 317 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 306 | en_US |
| gdc.description.volume | 422 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2089949741 | |
| gdc.identifier.wos | WOS:000345058300015 | |
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| gdc.oaire.keywords | Hilbert ideal | |
| gdc.oaire.keywords | Noether number | |
| gdc.oaire.keywords | polynomial invariants | |
| gdc.oaire.keywords | modular invariant theory | |
| gdc.oaire.keywords | Actions of groups on commutative rings; invariant theory | |
| gdc.oaire.popularity | 7.2161055E-10 | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.virtual.author | Erkuş, DENİZ ERDEMİRCİ | |
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