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On the level of principal ideal domains

โœ Scribed by J. K. Arason; R. Baeza

Publisher
Springer
Year
2011
Tongue
English
Weight
147 KB
Volume
96
Category
Article
ISSN
0003-889X

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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