Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598237 | Journal of Pure and Applied Algebra | 2007 | 4 Pages |
Abstract
We prove that the generators g1,…,gng1,…,gn of a lattice-ordered abelian group GG form a free generating set iff each ℓℓ-ideal generated by any n−1n−1 linear combinations of the gigi is strictly contained in some maximal ℓℓ-ideal of GG.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Daniele Mundici,