This monograph is concerned with exchange rings in various conditions related to stable range. Diagonal reduction of regular matrices and cleanness of square matrices are also discussed. Readers will come across various topics: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K-theory, topology, amongst others. This is a first-ever book that contains many of these topics considered under stable range conditions. It will be of great interest to researchers and graduate students involved in ring and module theories.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Maße
Höhe: 235 mm
Breite: 157 mm
Dicke: 41 mm
Gewicht
ISBN-13
978-981-4329-71-2 (9789814329712)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Hangzhou Normal Univ, China
Notational Conventions; Stable Range One; Unit 1-Stable Range; On m-Fold Stable Rings; Strongly Stable Rings; Weakly Stable Rings; Related Comparability; Generalized Stable Rings; QB-Rings; PB-Rings; Power-Cancellation; Stably Euclidean Rings; The n-Stable Range Condition; Stable Range for Ideals; Diagonal Reduction; Clean Properties, I; Clean Properties, II; Abelian Rings and Exchange.
