Free generating sets of lattice-ordered abelian groups |
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| Authors: | Daniele Mundici |
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| Affiliation: | Dipartimento di Matematica “Ulisse Dini”, Università degli Studi di Firenze, viale Morgagni 67/A, I-50134 Firenze, Italy |
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| Abstract: | We prove that the generators g1,…,gn of a lattice-ordered abelian group G form a free generating set iff each ?-ideal generated by any n−1 linear combinations of the gi is strictly contained in some maximal ?-ideal of G. |
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| Keywords: | Primary, 06F20 secondary, 08B20 |
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