English

Representation dimension of $m$-replicated algebras

Representation Theory 2013-01-24 v1 Rings and Algebras

Abstract

Let AA be a finite dimensional hereditary algebra over an algebraically closed field and A(m)A^{(m)} the mm-replicated algebra of AA. We prove that the representation dimension of A(m)A^{(m)} is at most three, and that the dominant dimension of A(m)A^{(m)} is at least mm.

Keywords

Cite

@article{arxiv.0810.5185,
  title  = {Representation dimension of $m$-replicated algebras},
  author = {Hongbo Lv and Shunhua Zhang},
  journal= {arXiv preprint arXiv:0810.5185},
  year   = {2013}
}

Comments

13 pages

R2 v1 2026-06-21T11:36:00.419Z