کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4585272 1630526 2013 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Commutative group rings with von Neumann regular total rings of quotients
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Commutative group rings with von Neumann regular total rings of quotients
چکیده انگلیسی
Let R be a commutative ring and let G be an abelian group. We show that if G is either torsion free or R is uniquely divisible by the order of every element of G, then the von Neumann regularity of the total ring of quotients of R ascends to the total ring of quotients of RG. Examples are given to show that the converse does not hold. These results are applied in the group ring setting to explore a number of zero divisor controlling conditions, such as being a PF or a PP ring as well as a number of Prüfer conditions, such as being an arithmetical, a Gaussian, or a Prüfer ring.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 388, 15 August 2013, Pages 287-293
نویسندگان
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