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math.AC2009★ 2 cited
Arithmetical rank of Cohen-Macaulay squarefree monomial ideals of height two
Kyouko Kimura
In this paper, we prove that a squarefree monomial ideal of height 2 whose quotient ring is Cohen-Macaulay is set-theoretic complete intersection.
math.AC2009
Schmitt-Vogel type lemma for reductions
Kyouko Kimura, Naoki Terai, Ken-ichi Yoshida
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 red…