HUANYIN CHEN (EN) — RINGS RELATED TO STABLE RANGE CONDITIONS

RINGS RELATED TO STABLE RANGE CONDITIONS краткое содержание

RINGS RELATED TO STABLE RANGE CONDITIONS - описание и краткое содержание, автор HUANYIN CHEN (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

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.Contents:Stable Range OneUnit 1-Stable RangeOn m-Fold Stable RingsStrongly Stable RingsWeakly Stable RingsRelated ComparabilityGeneralized Stable RingsQB-RingsPB-RingsPower-CancellationStably Euclidean RingsThe n-Stable Range ConditionStable Range for IdealsDiagonal ReductionClean Properties, IClean Properties, IIAbelian Rings and ExchangeReadership: Mathematicians and graduate students interested in ring and module theory.