کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599631 1631147 2014 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Endomorphism algebras of tilting modules over m-replicated algebras
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Endomorphism algebras of tilting modules over m-replicated algebras
چکیده انگلیسی

Let A be a finite dimensional hereditary algebra over an algebraically closed field k  , and let A(m)A(m) be the m-replicated algebra of A  . In this paper, we investigate the structure properties of the endomorphism algebras of tilting modules of A(m)A(m), and prove that all the endomorphism algebras of tilting modules of A(m)A(m) can be realized as the iterated endomorphism algebras of BB-tilting modules. That is, for each pair of basic tilting A(m)A(m)-modules T1T1 and T2T2 there exists a series of finite dimensional algebras Λ0,Λ1,…,ΛsΛ0,Λ1,…,Λs, which are the endomorphism algebras of some basic tilting A(m)A(m)-modules, and for each ΛiΛi there is a BB-tilting ΛiΛi-module MiMi such that Λ0=EndA(m)T1, Λi=EndΛi−1Mi−1 for 1⩽i⩽s1⩽i⩽s, and EndA(m)T2≃EndΛsMs.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 448, 1 May 2014, Pages 292–298
نویسندگان
, , ,