Zero Product Determined Algebras

by Matej Bresar

Overview

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.

Product Details

ISBN-13:	9783030802417
Publisher:	Springer International Publishing
Publication date:	08/26/2021
Series:	Frontiers in Mathematics
Edition description:	1st ed. 2021
Pages:	185
Product dimensions:	6.61(w) x 9.45(h) x 0.00(d)

About the Author

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).

Table of Contents

- 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.

Editorial Reviews

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)

From the Publisher