Published 2020 | Version v1

UNITAL TOPOLOGY on A UNITAL l-GROUP

  • 1. Department of Mathematics, Faculty of Sciences, University of Qom

Description

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. 2020 De Gruyter. All rights reserved.

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