An Application of Vasconcelos' Lemma
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概要
- 論文の詳細を見る
In this paper we prove that there holds SuppHo(K.)⊃…⊃SuppHn(K.), where Hi(K.) is the homology of the Koszul complex:K.=K.(x,M), for a sequence ot elements x=x1,…,xn of a commutative noetherian ring, and a finitely generated module M. This is a generalization of Vasconcelos' Lemma. Further, we give a proof of the non-negativity of partial Euler characteristics of the Koszul complex as an application of Vasconcelos' lemma.
- 奈良教育大学の論文
著者
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Takahashi Kazuyoshi
Department Of Cardiology Niigata City General Hospital
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Takahashi Kazuyoshi
Department Of Mathematics School Of Education Waseda University
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Hinohara Yukitoshi
Department of Mathematics, School of Education, Waseda University
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Kawasaki Ken-ichiroh
Department of Mathematics, Nara University of Education
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Kawasaki Ken-ichiroh
Department Of Mathematics Nara University Of Education
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Hinohara Yukitoshi
Department Of Mathematics School Of Education Waseda University
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Kawasaki Ken-ichiro
Department of Mathematics, Nara University of Education
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