Name: Separability Within Commutative and Solvable Associative Algebras. Under Consideration of Non-Unitary Algebras. With 401 Exercises (en Inglés)
Price: 2923.42 MXN
Availability: InStock
Author: Sven Bodo Wirsing
ISBN: 9783960672210

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portada Separability Within Commutative and Solvable Associative Algebras. Under Consideration of Non-Unitary Algebras. With 401 Exercises (en Inglés)

Formato

Libro Físico

Editorial

Anchor Academic Publishing

Autor

Sven Bodo Wirsing

Año

2018

Idioma

Inglés

N° páginas

260

Encuadernación

Tapa Blanda

ISBN13

9783960672210

Categorías

Matemáticas

Separability Within Commutative and Solvable Associative Algebras. Under Consideration of Non-Unitary Algebras. With 401 Exercises (en Inglés)

Sven Bodo Wirsing (Autor) · Anchor Academic Publishing · Tapa Blanda

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Reseña del libro "Separability Within Commutative and Solvable Associative Algebras. Under Consideration of Non-Unitary Algebras. With 401 Exercises (en Inglés)"

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.