Tilting mutation for m-replicated algebras
نویسندگان
چکیده
Let A be a finite dimensional hereditary algebra over an algebraically closed field k, A(m) be the m-replicated algebra of A and Cm(A) be the m-cluster category of A. We investigate properties of complements to a faithful almost complete tilting A(m)-module and prove that the m-cluster mutation in Cm(A) can be realized in mod A (m), which generalizes corresponding results on duplicated algebras established in [Z1].
منابع مشابه
Partial tilting modules over m - replicated algebras ⋆
Let A be a hereditary algebra over an algebraically closed field k andA(m) be them-replicated algebra of A. Given an A(m)-module T , we denote by δ(T ) the number of non isomorphic indecomposable summands of T . In this paper, we prove that a partial tilting A(m)module T is a tilting A(m)-module if and only if δ(T ) = δ(A(m)), and that every partial tilting A(m)-module has complements. As an ap...
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