on one class of modules over group rings with finiteness restrictions
نویسندگان
چکیده
the author studies the $bf r$$g$-module $a$ such that $bf r$ is an associative ring, a group $g$ has infinite section $p$-rank (or infinite 0-rank), $c_{g}(a)=1$, and for every proper subgroup $h$ of infinite section $p$-rank (or infinite 0-rank respectively) the quotient module $a/c_{a}(h)$ is a finite $bf r$-module. it is proved that if the group $g$ under consideration is locally soluble then $g$ is a soluble group and $a/c_{a}(g)$ is a finite $bf r$-module.
منابع مشابه
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عنوان ژورنال:
international journal of group theoryناشر: university of isfahan
ISSN 2251-7650
دوره 3
شماره 4 2014
کلمات کلیدی
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