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(Pre)order preserving additive homomorphisms of (pre)ordered commutative semigroups into real numbers. I. (English) Zbl 1306.06011

The aim of this paper is to collect and order many scattered results concerning additive homomorphisms of commutative semigroups into real numbers.

MSC:

06F05 Ordered semigroups and monoids
20M14 Commutative semigroups
20M15 Mappings of semigroups
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