A01=Huanyin Chen
A01=Marjan Sheibani Abdolyousefi
Anti-Triangular Matrix
Author_Huanyin Chen
Author_Marjan Sheibani Abdolyousefi
Banach Algebra
Bezout Domain
Block Matrix
Category=PBF
Clean Matrix
Clean Ring
Cline's Formula
Communicative Ring
Diagonal Reduction
Drazin Inverse
Elementary Divisor Ring
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exchange Ring
Generalized Drazin Inverse
Idempotent
Integral Domain
Invertible Matrix
Jacobson Radical
Jacobson's Lemma
Local Ring
Matrix
Matrix Decomposition
Maximal Ideal
Nil-Clean Element
Nil-Clean Matrix
Nilpotent
Nilpotent Matrix
Operator Matrix
Periodic Element
Periodic Ring
Prime Ideal
Principal Ideal Domain
Quasinilpotent
Quasipolar Element
Regular Ring
Ring
Ring of Continuous Functions
Ring of Power Series
Ring With Involution
Strongly Clean Ring
Strongly pi-Regular Ring
Topogical Property
Triangular Matrix
Tripotent
Zero Dimensional Space
Zero Divisor
Product details
- ISBN 9789811260124
- Publication Date: 04 Oct 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This is the first monograph devoted to clean ring and matrix theory. It aims to study a theory of expressing an element in a ring as the sum of some special ones, such as idempotents, units, nilpotents, tripotents, involutions, etc. A matrix over such rings is thereby expressed as the sum of some special matrices. Also another topics on the behaviors of topological properties and *-properties of such rings are investigated.The book is based on the results of various published papers, particularly, by the authors'. It is accessible for students familiar with general abstract algebra, while the topics are interesting for researchers in the field of ring, matrix and operator theory.
