Free generating sets of lattice-ordered abelian groups |
| |
| Authors: | Daniele Mundici |
| |
| Institution: | Dipartimento di Matematica “Ulisse Dini”, Università degli Studi di Firenze, viale Morgagni 67/A, I-50134 Firenze, Italy |
| |
| 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. |
| |
| Keywords: | Primary 06F20 secondary 08B20 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
