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Birkhäuser

Zero Product Determined Algebras

  • Book
  • © 2021

Overview

  • 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

Part of the book series: Frontiers in Mathematics (FM)

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Table of contents (9 chapters)

  1. Algebraic Theory

  2. Analytic Theory

  3. Applications

Keywords

About this book

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.

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)

Authors and Affiliations

  • Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia

    Matej Brešar

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).

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