“This book is about zero product determined algebras and is written in an attractive way. It deals with the introduction and study of this class of algebras. Most of this book is taken from research articles from the last 15 years and is suitable for researchers in this field and students with different backgrounds and can be used for self-study.” (Hoger Ghahramani, Mathematical Reviews, March, 2023)

This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years. It is divided into three parts. The first part presents the purely algebraic branch of the theory, the second part presents the functional analytic branch, and the third part discusses various applications.

The book is intended for researchers and graduate students in ring theory, Banach algebra theory, and nonassociative algebra.

Les mer
The first part presents the purely algebraic branch of the theory, the second part presents the functional analytic branch, and the third part discusses various applications.

The book is intended for researchers and graduate students in ring theory, Banach algebra theory, and nonassociative algebra.

Les mer
Part I Algebraic Theory. - Zero Product Determined Nonassociative Algebras. - Zero Product Determined Rings and Algebras. - Zero Lie/Jordan Product Determined Algebras. - Part II Analytic Theory. - Zero Product Determined Nonassociative Banach Algebras. - Zero Product Determined Banach Algebras. - Zero Lie/Jordan Product Determined Banach Algebras. - Part III Applications. - Homomorphisms and Related Maps. - Derivations and Related Maps. - Miscellany.
Les mer
This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years. It is divided into three parts. The first part presents the purely algebraic branch of the theory, the second part presents the functional analytic branch, and the third part discusses various applications.

The book is intended for researchers and graduate students in ring theory, Banach algebra theory, and nonassociative algebra.

Les mer
Provides the first systematic account of the theory of zero product determined algebras Presents applications to various problems in algebra and functional analysis Discusses a wide variety of mathematical topics in an accessible manner
Les mer
GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
Les mer

Produktdetaljer

ISBN
9783030802417
Publisert
2021-08-26
Utgiver
Vendor
Springer Nature Switzerland AG
Høyde
240 mm
Bredde
168 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet

Forfatter

Biographical note

Matej Brešar is a Professor at University of Ljubljana and the University of Maribor. His research focus lies in noncommutative algebra and its applications. He is the author or co-author of over 160 research papers, the co-author of the monograph Functional Identities (Birkhauser, 2007), and the author of the textbooks Introduction to Noncommutative Algebra (Springer, 2014) and Undergraduate Algebra. A unified Approach (Springer, 2019).