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Modules over formal matrix rings

โœ Scribed by P. A. Krylov; A. A. Tuganbaev


Publisher
Springer US
Year
2010
Tongue
English
Weight
503 KB
Volume
171
Category
Article
ISSN
1573-8795

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Linear preservers between matrix modules
โœ Chong-Guang Cao; Xian Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 252 KB

Let R be a connected commutative ring with identity 1 (R contains no idempotents except 0 and 1), and let M n (R) be the R-module of all n ร— n matrices over R. R is said to be idempotence-diagonalizable if every idempotent matrix over R is similar to a diagonal matrix. For two arbitrary positive int