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ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS
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نویسنده
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میرابراهیمی هانیه ,مشایخی بهروز
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منبع
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international journal of group theory - 2012 - دوره : 1 - شماره : 3 - صفحه:33 -37
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چکیده
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Abstract. recently, the authors gave some conditions under which a direct product of finitely manygroups is v-capable if and only if each of its factors is v-capable for some varieties v. in this paper,we extend this fact to any infinite direct product of groups. moreover, we conclude some resultsfor v-capability of direct products of infinitely many groups in varieties of abelian, nilpotent andpolynilpotent groups.
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کلیدواژه
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Capable group ,Direct product ,Variety of groups ,V-capable group ,direct limit
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آدرس
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ferdowsi university of mashhad, ایران, ferdowsi university of mashhad, ایران
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پست الکترونیکی
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bmashf@um.ac.ir
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Authors
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