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math.CT2012★ 3 cited
The zeta function of a finite category which has Möbius inversion
Kazunori Noguchi
We prove certain conjecture holds true for a finite category which has Möbius inversion. The conjecture states a relationship between the zeta function of a finite category and the…
math.CT2010★ 4 cited
The Euler characteristic of infinite acyclic categories with filtrations
Kazunori Noguchi
The aim of this paper is twofold. One is to give a definition of the Euler characteristic of infinite acyclic categories with filtrations and the other is to prove the invariance o…