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Integrality over fixed rings of automorp...

Szigeti, Jeno...

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Integrality over fixed rings of automorphisms in a Lie nilpotent setting by Szigeti, Jeno ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	07-09-2023
Summary	Let R be a Lie nilpotent algebra of index k over a field K of characteristic zero. If G is an n-element subgroup of Aut(R) of the K-automorphisms, then we prove that R is right integral over Fix(G) of degree n^k. In the presence of a primitive n-th root of unity e in K, for a K-automorphism d in Aut(R) with d^n=id, we prove that the skew polynomial algebra R[w,d] is right integral of degree n^k over Fix(d)[w^n].
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1501.07104

Citation

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AMA 11th EditionReferences

Szigeti, Jeno. Integrality over fixed rings of automorphisms in a Lie nilpotent setting. Australian National University. September 07, 2023. Accessed November 01, 2024. https://online.provdatabase.com/cite/24304

APA 7th EditionReferences

Szigeti, Jeno. (2023). Integrality over fixed rings of automorphisms in a Lie nilpotent setting. Australian National University. https://online.provdatabase.com/cite/24304

Chicago 17th EditionReferences

Szigeti, Jeno. Integrality over fixed rings of automorphisms in a Lie nilpotent setting. Australian National University. 2023. https://online.provdatabase.com/cite/24304

HarvardReferences

Szigeti, Jeno. (2023). Integrality over fixed rings of automorphisms in a Lie nilpotent setting. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24304. (Accessed 01 November 2024).

Harvard AustraliaReferences

Szigeti, Jeno, 2023, Integrality over fixed rings of automorphisms in a Lie nilpotent setting, Australian National University, viewed 01 November 2024, <https://online.provdatabase.com/cite/24304>

MLA 9th EditionWorks Cited

Szigeti, Jeno. Integrality over fixed rings of automorphisms in a Lie nilpotent setting. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24304.

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