In: Mathematica Slovaca, vol. 70, no. 5
Mahmood Pourgholamhossein - Mohammad Ali Ranjbar
Details:
Year, pages: 2020, 1189 - 1196
Keywords:
lattice group, order unit, locally solid topology, norm topology, order convergence, link topology,
stability of convergence
About article:
In this paper we investigate some fundamental properties of unital topology on a lattice ordered group with order unit. We show that some essential properties of order unit norm on a vector lattice with order unit, are valid for unital $l$-groups. For instance we show that for an Archimedean Riesz space $G$ with order unit $u$, the unital topology and the strong link topology are the same.
How to cite:
ISO 690:
Pourgholamhossein, M., Ranjbar, M. 2020. Unital topology on a unital $l$-group. In Mathematica Slovaca, vol. 70, no.5, pp. 1189-1196. 0139-9918. DOI: https://doi.org/DOI: 10.1515/ms-2017-0424
APA:
Pourgholamhossein, M., Ranjbar, M. (2020). Unital topology on a unital $l$-group. Mathematica Slovaca, 70(5), 1189-1196. 0139-9918. DOI: https://doi.org/DOI: 10.1515/ms-2017-0424
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 27. 9. 2020