On Köthe's problem concerning algebras for which every indecomposable module is cyclic, II
نویسندگان
چکیده
منابع مشابه
Rings for which every simple module is almost injective
We introduce the class of “right almost V-rings” which is properly between the classes of right V-rings and right good rings. A ring R is called a right almost V-ring if every simple R-module is almost injective. It is proved that R is a right almost V-ring if and only if for every R-module M, any complement of every simple submodule of M is a direct summand. Moreover, R is a right almost V-rin...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1961
ISSN: 0386-2194
DOI: 10.3792/pja/1195523674