کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4585124 1630520 2013 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Averaging t-structures and extension closure of aisles
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Averaging t-structures and extension closure of aisles
چکیده انگلیسی
We ask when a finite set of t-structures in a triangulated category can be 'averaged' into one t-structure or, equivalently, when the extension closure of a finite set of aisles is again an aisle. There is a straightforward, positive answer for a (possibly infinite) set of compactly generated t-structures in a big triangulated category. For piecewise tame hereditary categories, we give a criterion for when averaging is possible, and an algorithm that computes truncation triangles in this case. A finite group action on a triangulated category gives a natural way of producing a finite set of t-structures out of a given one. If averaging is possible, there is an induced t-structure on the equivariant triangulated category.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 394, 15 November 2013, Pages 51-78
نویسندگان
, , ,