Affiliation:
1. Department of Mathematics Faculty of Science , University of Qom , Qom , Iran
Abstract
Abstract
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.
Reference19 articles.
1. Aliprantis, C. D.—Burkinshaw, O.: Locally Solid Riesz Spaces with Applications to Economics, 2nd ed., AMS, 2003.
2. Birkhoff, G.: Lattice Theory. 2nd ed., Amer. Math. Soc. Colloq. Publ., 1948.
3. Bleier, R. D.: Minimal vector lattice covers, Bull. Austral. Math. Soc. 5 (1971), 331–335.
4. Buskes, G.—Van Rooij, A.: The vector lattice cover of certain partially ordered groups, J. Austral. Math. Soc. (Series A) 54 (1993), 352–367.
5. Černák, Š.—Lihová, J.: Convergence with a regulator in lattice ordered groups, Tatra Mt. Math. Publ. 39 (2005), 35–45.
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