-
Anglický jazyk
Separability within commutative and solvable associative algebras. Under consideration of non-unitary algebras. With 401 exercises
Autor: Sven Bodo Wirsing
Within the context of the Wedderburn-Malcev theorem a radical complement exists and all complements are conjugated. The main topics of this work are to analyze the Determination of a (all) radical complements, the representation of an element as the sum... Viac o knihe
Na objednávku, dodanie 2-4 týždne
46.26 €
bežná cena: 51.40 €
O knihe
Within the context of the Wedderburn-Malcev theorem a radical complement exists and all complements are conjugated. The main topics of this work are to analyze the Determination of a (all) radical complements, the representation of an element as the sum of a nilpotent and fully separable element and the compatibility of the Wedderburn-Malcev theorem with derived structures. Answers are presented in details for commutative and solvable associative algebras. Within the analysis the set of fully-separable elements and the generalized Jordan decomposition are of special interest. We provide examples based on generalized quaternion algebras, group algebras and algebras of traingular matrices over a field. The results (and also the theorem of Wedderburn-Malcev and Taft) are transferred to non-unitary algebras by using the star-composition and the adjunction of an unit. Within the App endix we present proofs for the Wedderburn-Malcev theorem for unitary algebras, for Taft's theorem on G-invariant radical complements for unitary algebras and for a theorem of Bauer concerning solvable unit groups of associative algebras.
- Vydavateľstvo: Anchor Academic Publishing
- Rok vydania: 2018
- Formát: Paperback
- Rozmer: 220 x 155 mm
- Jazyk: Anglický jazyk
- ISBN: 9783960672210
