Generalized commutativity of lattice-ordered groups

Year, pages: 2015, 325 - 342

In this paper we explore generalizations of Neumann's theorem proving that weak commutativity in ordered groups actually implies the group is abelian. We show that a natural generalization of Neumann's weak commutativity holds for certain Scrimger $\ell$-groups.

Darnel, M., Holland, W., Pajoohesh, H. 2015. Generalized commutativity of lattice-ordered groups. In Mathematica Slovaca, vol. 65, no.2, pp. 325-342. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0026

Darnel, M., Holland, W., Pajoohesh, H. (2015). Generalized commutativity of lattice-ordered groups. Mathematica Slovaca, 65(2), 325-342. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0026