Structure of Algebras (Dover Books on Mathematics) - Couverture souple

Albert, A Adrian

Couverture souple

ISBN 10 : 0486856372 ISBN 13 : 9780486856377

Editeur : Dover Publications, 2026

Synopsis

This seminal work offers a rigorous treatment of associative algebras, serving as a comprehensive foundational text. A. Adrian Albert pioneered methods for handling cyclic and crossed product algebras, developed novel factorization techniques for division algebras of prime-power degree, and unified algebraic results to yield simpler, generalized solutions that reduced reliance on complex classical ideal theory. The book also linked algebraic theory to new applications, such as Riemann matrices and involution algebras, thereby bridging historic algebraic theory with contemporary advances and applications in geometry and analysis. This once out-of-print masterpiece is now accessible to a new generation of students and includes a comprehensive bibliography of related topics for researchers.

A propos du livre

À propos de l'auteur

Abraham Adrian Albert was an American mathematician. In 1939, he received the American Mathematical Society's Cole Prize in Algebra for his work on Riemann matrices.

À propos de la quatrième de couverture

A. Adrian Albert exposes the intricacies of linear associative algebras and mathematical structures in this comprehensive textbook. A preliminary discussion of algebraic fundamentals, including the Wedderburn structure theory, leads to the examination of commutator subalgebras, automorphisms, splitting fields, and index reduction factors. Building a solid foundation in crossed products, cyclic algebras, and normal division algebra factorization, Albert links algebraic representations to applications inspired by the Riemann matrix theory and the theory of involutorial simple algebras. Structure of Algebras features an exposition of historic algebraic theory with contemporary advances. Includes a comprehensive bibliography of related topics for researchers.

Détails de l'édition

• Éditeur: Dover Publications
• Date d'édition: 2026
• Langue: anglais
• ISBN 10: 0486856372
• ISBN 13: 9780486856377
• Reliure: Tapa blanda
• Nombre de pages: 224
• Coordonnées du fabricant: non disponible
• Personne responsable: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italie