Rings of constants of linear derivations on Fermat rings

DOI10.1080/00927872.2018.1469032zbMath1461.13031arXiv1802.10578OpenAlexW2964059877WikidataQ111288362 ScholiaQ111288362MaRDI QIDQ4633989

Marcelo Oliveira Veloso, Ivan Pavlovic Shestakov

Publication date: 7 May 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.10578

zbMATH Keywords

derivationsring of constantsFermat ring

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Derivations and commutative rings (13N15) Derivations, actions of Lie algebras (16W25)

Related Items (1)

A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

• On the nonexistence of rational first integrals for systems of linear differential equations
• Derivations of polynomial algebras without Darboux polynomials
• A note on Nakai's conjecture for the ring K[X₁,\ldots,X_n / (a₁X₁^m+⋅⋅⋅+a_nX_n^m)]
• Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants
• Rational Constants of Generic LV Derivations and of Monomial Derivations
• Algebraic theory of locally nilpotent derivations

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