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math.AC2005

Stanley--Reisner rings with large multiplicities are Cohen--Macaulay

Naoki Terai, Ken-ichi Yoshida

We prove that certain class of Stanley--Reisner rings having sufficiently large multiplicities are Cohen--Macaulay using Alexander duality.

math.AC2004★ 1 cited

On the radical of a monomial ideal

Juergen Herzog, Yukihide Takayama, Naoki Terai

Algebraic and combinatorial properties of a monomial ideal and its radical are compared.