Waring's problem in finite rings

Yesim Demiroglu

doi:10.1016/j.jpaa.2018.11.003

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Waring's problem in finite rings

Yesim Demiroglu

Journal of Pure and Applied Algebra, Vol.223(8), pp.3318-3329

08/01/2019

DOI: https://doi.org/10.1016/j.jpaa.2018.11.003

Handle:

https://hdl.handle.net/20.500.12741/rep:12432

Abstract

Finite rings

Waring's problem

In this paper we obtain explicit results for Waring's problem over general finite rings, especially matrix rings over finite fields by building on analogous results over finite fields. Commutative algebra, in particular the Jacobson radical and nilpotent ideals, plays an important role in our proofs.

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Title: Waring's problem in finite rings
Creators: Yesim Demiroglu (Author) - California State University, Sacramento, Mathematics/Statistics Department
Academic Unit: Mathematics/Statistics Department
Publisher: Elsevier B.V
Publication Details: 08/01/2019
Grant note: NSA: H98230-15-1-0319
I would like to express my sincere gratitude to my advisers, Professor Jonathan Pakianathan and Professor David Covert for suggesting this problem. Also many thanks to Professor Naomi Jochnowitz for her useful comments and suggestions. Last but not the least, I thank the referee for his/her very valuable comments. This work was partially supported by NSA grant H98230-15-1-0319.
Identifiers: 99258167963501671; https://hdl.handle.net/20.500.12741/rep:12432; https://doi.org/10.1016/j.jpaa.2018.11.003
Number of pages: 12

Waring's problem in finite rings

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