Abstract.
Partial abelian monoids (PAMs) are structures (\( P; \bot, \oplus, 0 \)), where \( \oplus \) is a partially defined binary operation with domain \( \bot \), which is commutative and associative in a restricted sense, and 0 is the neutral element. PAMs with the Riesz decomposition properties and binary relations with special properties on PAMs are studied. Relations with abelian groups, dimension equivalence and K 0 for AF C*-algebras are discussed.
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Received September 17, 2000; accepted in final form March 13, 2002.
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Jenča, G., Pulmannová, S. Quotients of partial abelian monoids and the Riesz decomposition property. Algebra univers. 47, 443–477 (2002). https://doi.org/10.1007/s00012-002-8199-7
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DOI: https://doi.org/10.1007/s00012-002-8199-7