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?
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
When is a semilocal group algebra continuous?
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