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A new characterization of arithmeticity
Authors:Kalle Kaarli
Affiliation:(1) Department of Mathematics, University of Tartu, EE 50090 Tartu, Estonia, e-mail: kaarli@math.ut.ee, EE
Abstract:We prove that an equivalence lattice is arithmetical whenever for every and there exists a compatible choice function modulo , having a as a fixed point. The converse holds if L is finite. Received September 30, 1998; accepted in final form December 1, 1998.
Keywords:and phrases: Equivalence lattice   arithmeticity   compatible function.
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