%0 Journal Article %T Schmitt-Vogel type lemma for reductions %A Kyouko Kimura %A Naoki Terai %A Ken-ichi Yoshida %J Mathematics %D 2009 %I arXiv %X The lemma given by Schmitt and Vogel is an important tool in the study of arithmetical rank of squarefree monomial ideals. In this paper, we give a Schmitt-Vogel type lemma for reductions as an analogous result. %U http://arxiv.org/abs/0912.1399v1