Topology on regulators of lattice ordered groups. II: Completely regular regulators
František Šik (1982)
Mathematica Slovaca
Ján Jakubík (2006)
Mathematica Slovaca
Jorge Martinez (1976)
Czechoslovak Mathematical Journal
Mária Jakubíková (1978)
Czechoslovak Mathematical Journal
Murphy, Gerard J. (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Montserrat Pons (1982)
Stochastica
In this paper a characterization of the topologies on a l-group arising from a CTRO (T-topologies) is given. We use it to find conditions under which the Redfield topology comes from a CTRO.
D. Edwards (1975)
Fundamenta Mathematicae
Mária Jakubíková (1973)
Matematický časopis
Wolfgang Ruppert, H.-Ch. Reichel (1977)
Monatshefte für Mathematik
Ján Jakubík (1988)
Czechoslovak Mathematical Journal
Anthony W. Hager, Chawne M. Kimber, Warren W. McGovern (2005)
Czechoslovak Mathematical Journal
Usually, an abelian -group, even an archimedean -group, has a relatively large infinity of distinct -closures. Here, we find a reasonably large class with unique and perfectly describable -closure, the class of archimedean -groups with weak unit which are “-convex”. ( is the group of rationals.) Any is -convex and its unique -closure is the Alexandroff algebra of functions on defined from the clopen sets; this is sometimes .
Yue Hui Zhang (1995)
Czechoslovak Mathematical Journal
F. Beukers, C. Huijsmans, B.de Pagter (1983)
Mathematische Zeitschrift
Niezgoda, Marek (2006)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Laszlo Fuchs (1976/1977)
Groupe d'étude d'algèbre Groupe d'étude d'algèbre
Ján Jakubík (1980)
Czechoslovak Mathematical Journal
Bohumil Šmarda (1992)
Mathematica Slovaca
Ramiro Lafuente-Rodriguez, Warren Wm. McGovern (2021)
Mathematica Bohemica
It is our aim to contribute to the flourishing collection of knowledge centered on the space of minimal prime subgroups of a given lattice-ordered group. Specifically, we are interested in the inverse topology. In general, this space is compact and , but need not be Hausdorff. In 2006, W. Wm. McGovern showed that this space is a boolean space (i.e. a compact zero-dimensional and Hausdorff space) if and only if the -group in question is weakly complemented. A slightly weaker topological property...
И.И. Шамаев (1987)
Sibirskij matematiceskij zurnal
Andrey V. Koldunov, G. Ja. Rotkovič (1987)
Czechoslovak Mathematical Journal