Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter September 19, 2007

The Lebesgue state of a unital abelian lattice-ordered group

  • Vincenzo Marra EMAIL logo and Daniele Mundici
From the journal Journal of Group Theory

Abstract

Various combinatorial equivalents are given to the Lebesgue state in archimedean lattice-ordered groups with order-unit. The proofs use piecewise linear functions on polyhedra with rational vertices.


(Communicated by R. M. Guralnick)


Received: 2006-11-26
Revised: 2007-01-04
Published Online: 2007-09-19
Published in Print: 2007-09-19

© Walter de Gruyter

Downloaded on 27.4.2024 from https://www.degruyter.com/document/doi/10.1515/JGT.2007.049/html
Scroll to top button