کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778440 1633769 2017 46 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Ziegler spectrum for derived-discrete algebras
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
The Ziegler spectrum for derived-discrete algebras
چکیده انگلیسی
Let Λ be a derived-discrete algebra. We show that the Krull-Gabriel dimension of the homotopy category of projective Λ-modules, and therefore the Cantor-Bendixson rank of its Ziegler spectrum, is 2, thus extending a result of Bobiński and Krause [8]. We also describe all the indecomposable pure-injective complexes and hence the Ziegler spectrum for derived-discrete algebras, extending a result of Z. Han [17]. Using this, we are able to prove that all indecomposable complexes in the homotopy category of projective Λ-modules are pure-injective, so obtaining a class of algebras for which every indecomposable complex is pure-injective but which are not derived pure-semisimple.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 319, 15 October 2017, Pages 653-698
نویسندگان
, , , ,