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Keywords:
generalized Boolean algebra; elementary Carathéodory functions; Specker lattice ordered group; $(\alpha, \beta)$-distributivity; complete distributivity
generalized Boolean algebra; elementary Carathéodory functions; Specker lattice ordered group; $(\alpha, \beta)$-distributivity; complete distributivity
Summary:
In this paper we deal with the vector lattice $C(B)$ of all elementary Carathéodory functions corresponding to a generalized Boolean algebra $B$.
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