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• W2964170426 abstract "Abstract. A unital l-group (G,u) is an abelian group G equipped with atranslation-invariant lattice-order and a distinguished element u, called order-unit, whose positive integer multiples eventually dominate each element of G.We classify finitely generated unital l-groups by sequences W= (W 0 ,W 1 ,...)of weighted abstract simplicial complexes, where W t+1 is obtained from W t either by the classical Alexander binary stellar operation, or by deleting a max-imal simplex of W t . A simple criterion is given to recognize when two suchsequences classify isomorphic unital l-groups. Many properties of the unital l-group (G,u) can be directly read off from its associated sequence: for instance,the properties of being totally ordered, archimedean, finitely presented, sim-plicial, free. 1. IntroductionThis paper deals with abelian groups G equipped with a translation-invariantlattice-order and a distinguished order-unit u, i.e., an element whose positive integermultiples eventually dominate each element of G. For brevity, (G,u) will be saidto be a" @default.
• W2964170426 created "2019-07-30" @default.
• W2964170426 creator A5004265800 @default.
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• W2964170426 date "2009-01-01" @default.
• W2964170426 modified "2023-09-27" @default.
• W2964170426 title "CLASSIFICATION OF FINITELY GENERATED LATTICE-ORDERED ABELIAN GROUPS WITH ORDER-UNIT" @default.
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