# Complete distributivity and $\alpha $-convergence

Czechoslovak Mathematical Journal (1980)

- Volume: 30, Issue: 2, page 296-301
- ISSN: 0011-4642

## Access Full Article

top## How to cite

topMadell, Robert L.. "Complete distributivity and $\alpha $-convergence." Czechoslovak Mathematical Journal 30.2 (1980): 296-301. <http://eudml.org/doc/13198>.

@article{Madell1980,

author = {Madell, Robert L.},

journal = {Czechoslovak Mathematical Journal},

keywords = {lattice ordered groups with topology; lattice convergence; product of topological totally ordered groups; completely distributive groups},

language = {eng},

number = {2},

pages = {296-301},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Complete distributivity and $\alpha $-convergence},

url = {http://eudml.org/doc/13198},

volume = {30},

year = {1980},

}

TY - JOUR

AU - Madell, Robert L.

TI - Complete distributivity and $\alpha $-convergence

JO - Czechoslovak Mathematical Journal

PY - 1980

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 30

IS - 2

SP - 296

EP - 301

LA - eng

KW - lattice ordered groups with topology; lattice convergence; product of topological totally ordered groups; completely distributive groups

UR - http://eudml.org/doc/13198

ER -

## References

top- G. Birkhoff, Lattice Theory, (third edition), Amer. Math. Soc., Providence, Rhode Island, 1967. (1967) Zbl0153.02501MR0227053
- R. D. Byrd, Complete distributivity in lattice-ordered groups, Рас. J. Math. 20 (1967), 423-432. (1967) Zbl0178.02902MR0207866
- R. D. Byrd, J. T. Lloyd, 10.1007/BF01136029, Math. Zeitschr. 101 (1967), 123-130. (1967) MR0218284DOI10.1007/BF01136029
- J. Ellis, [unknown], Unpublished doctoral dissertation, Tulane University, New Orleans, Louisiana, 1968. (1968) Zbl0205.29101
- J. Flachsmeyer, On Dini convergence in function spaces, DAN SSSR. 152 (1963), 1071-74. (1963) MR0155286
- E. E. Floyd, Boolean algebras with pathological order properties, Рас. J. Math. 5 (1965), 687-689. (1965) MR0073563
- L. Fuchs, Partially Ordered Algebraic Systems, Pergamon Press (Addison-Wesley), New York, 1963. (1963) Zbl0137.02001MR0171864
- J. Jakubík, The interval topology of an $l$-group, Colloq. Math. XI (1963), 65-72. (1963) MR0160831
- J. L. Kelly, General Topology, Van Nostrand Press, Princeton, 1955. (1955) MR0070144
- R. L. Madell, 10.1090/S0002-9947-1969-0250952-5, Trans. Amer. Math. Soc. 146 (1969), 447-455. (1969) Zbl0192.36203MR0250952DOI10.1090/S0002-9947-1969-0250952-5
- F. Papangelou, 10.1007/BF01344076, Math. Annalen 155 (1964), 81-107. (1964) Zbl0131.02601MR0174498DOI10.1007/BF01344076
- F. Papangelou, 10.2140/pjm.1965.15.1347, Pacific J. Math. 15 (1965), 1347-65. (1965) Zbl0146.04802MR0190242DOI10.2140/pjm.1965.15.1347

## NotesEmbed ?

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