What makes a multi-complex exact?
classification
🧮 math.AC
math.CTmath.KT
keywords
complexexactmakeswhatboundarybuchsbaum-eisenbudcharacterizationcondition
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In this paper, we give a sufficient condition which makes the total complex of a cube exact. This can be regarded as a variant of the Buchsbaum-Eisenbud theorem which gives a characterization of what makes a complex of finitely generated free modules exact in terms of the grade of the Fitting ideals of boundary maps of the complex.
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