کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587930 1334165 2008 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A noncommutative version of Beilinson's theorem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A noncommutative version of Beilinson's theorem
چکیده انگلیسی

We prove that the category of representations of the N-Kronecker quiver is derived equivalent to the category which is considered as the category of coherent sheaves on the noncommutative projective scheme associated to . This theorem is easily proved by applying Orlov's theorem. On the other hand, in our proof, a method of noncommutative projective geometry is used, and the quadratic relation naturally arises from Auslander–Reiten theory.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 320, Issue 1, 1 July 2008, Pages 238-252