کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4588965 | 1334202 | 2007 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
When is a semilocal group algebra continuous?
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
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چکیده انگلیسی
It is shown that (i) a semilocal group algebra KG of an infinite nilpotent group G over a field K of characteristic p>0 is CS (equivalently continuous) if and only if G=P×H, where P is a locally finite, infinite p-group and H is a finite abelian group whose order is not divisible by p, (ii) if K is a field of characteristic p>0 and G=P×H where P is an infinite locally finite p-group (not necessarily nilpotent) and H is a finite group whose order is not divisible by p then KG is CS if and only if H is abelian. Furthermore, commutative semilocal group algebra is always continuous and for PI group algebras this holds for local group algebras; however this result is not true, in general.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 312, Issue 1, 1 June 2007, Pages 152-157
Journal: Journal of Algebra - Volume 312, Issue 1, 1 June 2007, Pages 152-157