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Skew derivations and the nil and prime radicals

100%

Bergen J., Grzeszczuk P.

Colloquium Mathematicum

2012

tom 128

nr 2

229-236

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.

Invariants of Lie color algebras acting on graded algebras

100%

Bergen J., Grzeszczuk P.

Colloquium Mathematicum

2000

tom 83

nr 1

107-124

We prove a series of "going-up" theorems contrasting the structure of semiprime algebras and their subalgebras of invariants under the actions of Lie color algebras.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Bergen J.

2 Grzeszczuk P.

1 2012

1 2000

Wyniki wyszukiwania

Skew derivations and the nil and prime radicals

Invariants of Lie color algebras acting on graded algebras