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組合せ論あるいは可換代数におけるグレブナー基底の理論的な有効性を簡潔に紹介。〔内容〕準備(可換環他)/多項式環/グレブナー基底/トーリック環/正規配置と単模被覆/正則三角形分割/単模性と圧搾性/コスツル代数とグレブナー基底