Simplicity of Some Derivations ofk[x,y]

DOI10.1080/00927872.2011.643521zbMath1309.13033OpenAlexW2059365155MaRDI QIDQ4924090

Alok Kumar Maloo, Surjeet Kour

Publication date: 30 May 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.643521

zbMATH Keywords

derivations\(d\)-simple ringsimple derivation

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Theory of modules and ideals in commutative rings (13C99)

Related Items (6)

A note on isotropy groups and simple derivations ⋮ On Shamsuddin derivations and the isotropy groups ⋮ The images of some simple derivations ⋮ Simple derivations in two variables ⋮ On simple Shamsuddin derivations in two variables ⋮ A Class of Simple Derivations ofk[x,y]

Cites Work

• Simple Shamsuddin derivations of \(K[X;Y_{1},\cdots ,Y_{n}\): An algorithmic characterization]
• Derivations of polynomial algebras without Darboux polynomials
• Differential simplicity and complete integral closure
• SIMPLE QUADRATIC DERIVATIONS IN TWO VARIABLES
• NONHOLONOMIC SIMPLE D-MODULES FROM SIMPLE DERIVATIONS
• DIFFERENTIALLY SIMPLE RINGS WITH NO INVERTIBLE DERIVATIVES
• Some Simple Derivations ofk[x,y]
• An example of a simple derivation in two variables
• D-SIMPLE RINGS AND PRINCIPAL MAXIMAL IDEALS OF THE WEYL ALGEBRA
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