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Whitehead modules over large principal ideal domains

โœ Scribed by Eklof, Paul C.; Shelah, Saharon


Book ID
126246045
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2002
Tongue
English
Weight
99 KB
Volume
14
Category
Article
ISSN
0933-7741

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Linear maps preserving idempotence on ma
โœ Liu Shaowu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 379 KB

Let R be a commutative principal ideal domain, T : Mn(R) --\* Mm(R) an R-linear map which preserves idempotence. We determine the forms of T when n >/m and R ~ Fz, and solve some of Beasley's open problems. As a consequence, we prove that the set -~(R) of all R-linear maps on Mn(R) which preserve bo