Skew derivations and the nil and prime radicals

• Autorzy: Jeffrey Bergen , Piotr Grzeszczuk
• Języki publikacji: EN

Abstrakty

EN

We examine when the nil and prime radicals of an algebra are stable under q-skew σ-derivations. We provide an example which shows that even if q is not a root of 1 or if δ and σ commute in characteristic 0, then the nil and prime radicals need not be δ-stable. However, when certain finiteness conditions are placed on δ or σ, then the nil and prime radicals are δ-stable.

Kategorie tematyczne

• 16W55: ``Super'' (or ``skew'') structure
• 16W25: Derivations, actions of Lie algebras
• 16N40: Nil and nilpotent radicals, sets, ideals, rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 128
• Numer: 2
• Strony: 229-236

Daty

wydano

2012

Twórcy

autor

Jeffrey Bergen

• Department of Mathematics, DePaul University, 2320 N. Kenmore Avenue, Chicago, IL 60614, U.S.A.

autor

Piotr Grzeszczuk

• Faculty of Computer Science, Białystok University of Technology, Wiejska 45A, 15-351 Białystok, Poland

Identyfikatory

DOI

10.4064/cm128-2-8