Rings with Indecomposable Right Modules Local
نویسندگان
چکیده
منابع مشابه
Indecomposable almost free modules - the local case
Let R be a countable, principal ideal domain which is not a field and A be a countable R-algebra which is free as an R-module. Then we will construct an א1-free R-module G of rank א1 with endomorphism algebra EndRG = A. Clearly the result does not hold for fields. Recall that an R-module is א1-free if all its countable submodules are free, a condition closely related to Pontryagin’s theorem. Th...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2010
ISSN: 1027-5487
DOI: 10.11650/twjm/1500406074