Article ID Journal Published Year Pages File Type
4598237 Journal of Pure and Applied Algebra 2007 4 Pages PDF
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
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