Abelian groups that are direct summands of every containing abelian group
نویسندگان
چکیده
منابع مشابه
Abelian Groups That Are Direct Summands of Every Containing Abelian Group
It is a well known theorem that an abelian group G satisfying G = nG for every positive integer n is a direct summand of every abelian group H which contains G as a subgroup. It is the object of this note to generalize this theorem to abelian groups admitting a ring of operators, and to show that the corresponding conditions are not only sufficient but are at the same time necessary. Finally we...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1940
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1940-07306-9