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.
Produkt-Info
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Zielgruppe
Illustrationen
Maße
Höhe: 240 mm
Breite: 168 mm
Dicke: 11 mm
Gewicht
ISBN-13
978-3-030-80241-7 (9783030802417)
DOI
10.1007/978-3-030-80242-4
Schweitzer Klassifikation
Matej Bresar 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).
<b>Matej Bresar</b> 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 <i>Functional Identities</i> (Birkhauser, 2007), and the author of the textbooks <i>Introduction to Noncommutative Algebra</i> (Springer, 2014) and <i>Undergraduate Algebra. A unified Approach (</i>Springer, 2019).
<b>- </b><b>Part I Algebraic Theory. - </b>Zero Product Determined Nonassociative Algebras. - Zero Product Determined Rings and Algebras. - Zero Lie/Jordan Product Determined Algebras. - <b>Part II Analytic Theory.</b> - Zero Product Determined Nonassociative Banach Algebras. - Zero Product Determined Banach Algebras. - Zero Lie/Jordan Product Determined Banach Algebras. - <b>Part III Applications.</b> - Homomorphisms and Related Maps. - Derivations and Related Maps. - Miscellany.