کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4600548 1336853 2017 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Representation dimensions of triangular matrix algebras
ترجمه فارسی عنوان
ابعاد بازنمایی جبرهای ماتریس مثلثی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

Let A be a finite dimensional hereditary algebra over an algebraically closed field be the triangular matrix algebra. We prove that is at most three if A is Dynkin type and is at most four if A is not Dynkin type.Let be the duplicated algebra of A. Let T be a tilting A-module and be a tilting A(1)-module. We show that is representation finite if and only if the full subcategory of is of finite type, where τ is the Auslander–Reiten translation and F(TA) is the torsion-free class of associated with T.Moreover, we also prove that is at most three if A is Dynkin type.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 438, Issue 5, 1 March 2013, Pages 2004-2017