کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4588974 | 1334202 | 2007 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nontriviality of certain quotients of K1 groups of division algebras
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
For a division algebra D finite dimensional over its center Z(D)=F, it is a conjecture that CK1(D):=Coker(K1F→K1D) is trivial if and only if with F a formally real Pythagorean field. Since CK1(D) is very difficult to work with, we consider here , which is a homomorphic image of CK1(D). A field E is said to be NKNT if for every noncommutative division algebra D finite dimensional over E⊆Z(D), NK1(D) is nontrivial. It is proved that if E is finitely generated but not algebraic over some subfield then E is NKNT. As a consequence, if Z(D) is finitely generated over its prime subfield or over an algebraically closed field, then CK1(D) is nontrivial.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 312, Issue 1, 1 June 2007, Pages 354-361
Journal: Journal of Algebra - Volume 312, Issue 1, 1 June 2007, Pages 354-361