On the differential simplicity of polynomial rings.

DOI10.1016/S0021-8693(03)00099-1zbMath1047.16018OpenAlexW1966177028MaRDI QIDQ1399178

S. C. Coutinho

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00099-1

zbMATH Keywords

derivations of polynomial algebrasdifferentially simple rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Derivations, actions of Lie algebras (16W25) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (7)

Simple Derivations of Graded Affine Algebras in Positive Characteristic ⋮ Birational Geometry of Foliations Associated to Simple Derivations ⋮ On the differential simplicity of affine rings ⋮ Simple Poisson-Farkas algebras and ternary Filippov algebras ⋮ ORE EXTENSIONS AND POISSON ALGEBRAS ⋮ Higher derivations of Ore extensions. ⋮ Sets of Commuting Derivations and Simplicity

Cites Work

• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• A rational approach to the Prelle-Singer algorithm
• The Castelnuovo-Mumford regularity of an integral variety of a vector field on projective space.
• The Poincaré problem in the nondicritical case
• Holonomie et intégrales premières
• DIFFERENTIALLY SIMPLE RINGS WITH NO INVERTIBLE DERIVATIVES
• d-Simple rings and simple -modules
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