Topologies in $\ell$-groups

Bohumil Šmarda

Archivum Mathematicum (1967)

• Volume: 003, Issue: 2, page 69-81
• ISSN: 0044-8753

Access Full Article

top

 Access to full text

 Full (PDF)

How to cite

top

• MLA
• BibTeX
• RIS

Šmarda, Bohumil. "Topologies in $\ell $-groups." Archivum Mathematicum 003.2 (1967): 69-81. <http://eudml.org/doc/15816>.

@article{Šmarda1967,
author = {Šmarda, Bohumil},
journal = {Archivum Mathematicum},
language = {eng},
number = {2},
pages = {69-81},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Topologies in $\ell $-groups},
url = {http://eudml.org/doc/15816},
volume = {003},
year = {1967},
}

TY - JOUR
AU - Šmarda, Bohumil
TI - Topologies in $\ell $-groups
JO - Archivum Mathematicum
PY - 1967
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 003
IS - 2
SP - 69
EP - 81
LA - eng
UR - http://eudml.org/doc/15816
ER -

References

top

1. G. Birkhoff, Lattice theory, New York, rev. ed. 1948. (1948) Zbl0033.10103MR0029876
2. N. Bourbaki, Topologie générale, Actualités Sci. Ind. 858, Paria 1940. (1940) Zbl0026.43101
3. P. Conrad, Some structure theorems for lattice ordered groups, Trans. Am. Math. Soc., 99 (1961), 212-240. (1961) Zbl0099.25401MR0121405
4. Ch. Holland, The interval topology of a certain l-group, Czech. Math. J., 15 (90), 1965, 311-314. (1965) Zbl0137.25702MR0177044
5. T. Choe, The interval topology of a lattice-ordered group, Kуungpook Math. J., 1 (1958), 69-74. (1958) MR0104739
6. J. Jakubík, The interval topology of an l-group, Mat.-fyz. čas., 12 (1962), 209-211. (1962) MR0162870
7. E. S. Northam, Interval topology of a lattice, Pгoc Am. Math. Soc., 4 (1953), 824-827. (1953) Zbl0051.26002MR0057534
8. Л. C. Пoнтpягин, Henpepывныe гpynnы, ГTTИ, Mocквa, 1954. (1954) 
9. Ф. Шик, К meopuu cmpyкmypno ynopядoчeниыx гpynn, Czech. Math. J., 6 (81), 1956, 1 - 25. (1956) 
10. F. Šik, Struktur und Realisierungen von Verbandsgruppen, I., II, - Mem. Fac. Cio. Univ. Habana, vol. 1, ser. mat., fasc. 2° y 3° (1964), 1-29; III.-fasc. 4°-5° (1966), 1-20, IV., - in the press., V. Math. Nachr., 33 (1967), 221-229. (1964) MR0268103
11. E. Wolk, On the interval topology of an l-group, Proc Am Math. Soc., 12 (1961), 304-307. (1961) Zbl0096.25206MR0122900

Citations in EuDML Documents

top

1. Bohumil Šmarda, Connectivity in tl-groups
2. Bohumil Šmarda, The lattice of topologies of topological $l$-groups
3. Matúš Harminc, Cardinality of the system of all sequential convergences on an Abelian lattice ordered group
4. Bohumil Šmarda, Topologies corresponding to metrics on $\ell$-groups
5. Jiří Močkoř, The group of divisibility of $\widehat{𝐙}$
6. Liang Hong, Locally solid topological lattice-ordered groups

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Language to use for this widget. български (bg) čeština (cs) Deutsch (de) ελληνικά (el) English (en) español (es) français (fr) italiano (it) lietuvių kalba (lt) polski (pl) português (pt) română (ro) русский (ru) slovenčina (sk)

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Number of notes per page 5 10 15 20

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.

OK