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MR2147814 06-02 (06C15 08A55 16D70 18E10 28A60 46L51)
Goodearl, K. R.; Wehrung, F. The complete dimension theory of partially ordered systems with equivalence and orthogonality. Mem. Amer. Math. Soc. 176 (2005), no. 831, vii+117 pp.
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