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Cernak, Stefan

On some types of maximal l-subgroups of a lattice ordered group. (English) Zbl 0403.06011

Math. Slovaca 28, 349-359 (1978).
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Cited in 1 Document

MSC:

06F20 Ordered abelian groups, Riesz groups, ordered linear spaces

Keywords:

Abelian Lattice Ordered Groups; O-Completeness; Radical Class

Citations:

Zbl 0060.063; Zbl 0094.247; Zbl 0368.06013
PDFBibTeX XMLCite
\textit{S. Cernak}, Math. Slovaca 28, 349--359 (1978; Zbl 0403.06011)
Full Text: EuDML

References:

[1] ALLING N. L.: On ordered divisible groups. Trans. Amer. Math. Soc, 94, 1960, 498-514. · Zbl 0094.24703 · doi:10.2307/1993436
[2] BIRKHOFF G.: Lattice theory, third edition. Providence 1967. · Zbl 0153.02501
[3] CONRAD P.: Some structure theorems for lattice ordered groups. Trans. Amer. Math. Soc, 99, 1961, 212-240. · Zbl 0099.25401 · doi:10.2307/1993391
[4] ČERNÁK Š.: The Cantor extension of a lexicographic product of l-groups. Mat. Čas., 23, 1973, 97-102. · Zbl 0259.06019
[5] EVERETT C. J.: Sequence completion of lattice modules. Duke Math. J., 11, 1944, 109-119. · Zbl 0060.06301 · doi:10.1215/S0012-7094-44-01112-9
[6] ФУХС Л.: Частично упорядоченные алгебрические системы. Москва 1965.
[7] JAKUBÍK J.: Radical mappings and radical classes of lattice ordered groups. · Zbl 0227.06005
[8] JAKUBÍK J.: Die Dedekindischen Schnitte im direkten Produkt von halbgeordeten Gruppen. Mat. fyz. Čas. SAV, 16, 4, 1966, 329-336. · Zbl 0154.02602
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