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Stacked bases for modules over principal ideal domains

✍ Scribed by Joel M Cohen; Herman Gluck

Book ID
107774040
Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
603 KB
Volume
14
Category
Article
ISSN
0021-8693

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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