A class of modules over a locally finite group I
نویسندگان
چکیده
منابع مشابه
Modules over Group Rings of Locally Finite Groups with Finiteness Restrictions
We study an RG-module A , where R is a ring, A/CA(G) is infinite, CG(A) = 1, G is a group. Let Lnf(G) be the system of all subgroups H ≤ G such that the quotient modules A/CA(H) are infinite. We investigate an RG-module A such that Lnf(G) satisfies either the weak minimal condition or the weak maximal condition as an ordered set. It is proved that if G is a locally finite group then either G is...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1973
ISSN: 0004-9735
DOI: 10.1017/s144678870001541x