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Characterizations of Lambek-Carlitz type. (English) Zbl 1122.11003

The author studies Möbius categories of full binomial type. The aim of the paper is to characterize which reduced incidence functions are completely multiplicative. An analog of a Lambek-Carlitz characterization of exponential series [E. D. Schwab, PU. M. A., Pure Math. Appl. 4, 339–346 (1993; Zbl 0806.13010)] over a finite field is established, too.

MSC:

11A25 Arithmetic functions; related numbers; inversion formulas
18B99 Special categories
13F25 Formal power series rings

Citations:

Zbl 0806.13010
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