O ct 2 00 8 Partial tilting modules over m-replicated algebras ⋆

@inproceedings{ZhangOC2,
  title={O ct 2 00 8 Partial tilting modules over m-replicated algebras ⋆},
  author={Shunhua Zhang}
}
Let A be a hereditary algebra over an algebraically closed field k and A (m) be the m-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… CONTINUE READING