کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587859 1334162 2008 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bounded derived categories and repetitive algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Bounded derived categories and repetitive algebras
چکیده انگلیسی

By a theorem due to the first author, the bounded derived category of a finite dimensional algebra over a field embeds fully faithfully into the stable category over its repetitive algebra. This embedding is an equivalence if the algebra is of finite global dimension. The purpose of this paper is to investigate the relationship between the derived category and the stable category over the repetitive algebra from various points of view for algebras of infinite global dimension. The most satisfactory results are obtained for Gorenstein algebras, especially for selfinjective algebras.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 4, 15 February 2008, Pages 1611-1635