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ON ONE CLASS OF MODULES OVER GROUP RINGS WITH FINITENESS RESTRICTIONS
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نویسنده
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داشکوا اولگا یو.
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منبع
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international journal of group theory - 2014 - دوره : 3 - شماره : 4 - صفحه:37 -46
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چکیده
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The author studies the rg-module a such that r is an associative ring, a group g hasinnite section p-rank (or innite 0-rank), cg(a) = 1, and for every proper subgroup h of infinitesection p-rank (or innite 0-rank respectively) the quotient module a=ca(h) is a finite r-module.it is proved that if the group g under consideration is locally soluble then g is a soluble group anda=ca(g) is a finite r-module.
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کلیدواژه
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group ring ,linear group ,module.
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آدرس
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The Branch of Moscow State University in Sevastopo, Department of Mathematics, The Branch of Moscow State University in Sevastopol, Sevastopol, Ukraine, Ukraine
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پست الکترونیکی
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odashkova@yandex.ru
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Authors
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