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Jakubikova, Maria

On complete lattice ordered groups with two generators. I. (English) Zbl 0402.06007

Math. Slovaca 28, 389-406 (1978).
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MSC:

06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
06F15 Ordered groups

Keywords:

Complete Lattice Ordered Group K; B-Free Complete Lattice Ordered Groups; Completely Distributive Complete Lattice Ordered Groups
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\textit{M. Jakubikova}, Math. Slovaca 28, 389--406 (1978; Zbl 0402.06007)
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References:

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[2] BIRKHOFF G.: Lattice theory. third edition, Providence 1976. · Zbl 0063.00402
[3] CONRAD P.: Lattice ordered groups. Tulane University, 1970. · Zbl 0258.06011
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[5] CONRAD P.: Free abelian l-groups and vector lattices. Math. Ann., 190, 1971, 306-312. · Zbl 0213.31504 · doi:10.1007/BF01431159
[6] CONRAD P.: The lateral completion of a lattice ordered group. Proc London Math. Soc., 19, 1963, 444-480. · Zbl 0182.04803 · doi:10.1112/plms/s3-19.3.444
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[10] JAKUBÍK J.: Cantor-Bernstein theorem for lattice ordered groups. Czech. Math. J., 22, 1972, 159-175. · Zbl 0243.06009
[11] JAKUBÍK J.: Orthogonal hull of a strongly projectable lattice ordered group. Czech. Math. J.
[12] JAKUBÍKOVÁ M.: Über die B-Potenz einer verbandsgeordneten Gruppe. Mat. Čas., 23, 1973, 231-239.
[13] JAKUBÍKOVÁ M.: The nonexistence of free complete vector lattices. Čas. Pěst. Mat., 99, 1974, 142-146. · Zbl 0279.06015
[14] JAKUBÍKOVÁ M.: Totally inhomogeneous lattice ordered groups. Czech Math. J.
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[16] ШИК Ф.: К тєории структурно упорядочєнных групп. Czech. Math. J., 6, 1965, 1-25.
[17] ŠIK F.: Über subdirekte Summen geordneter Gruppen. Czech. Math. J., 10, 1960, 400-424. · Zbl 0102.26501
[18] ВУЛИХ Б. 3.: Ввєдєниє в тєорию полуупорядочєнных пространств. Москва 1961.
[19] WEINBERG E. C.: Completely distributive lattice ordered groups. Pacif. J. Math., 12, 1962, 1131-1137. · Zbl 0111.24301 · doi:10.2140/pjm.1962.12.1131
[20] WEINBERG E. C.: Free lattice ordered groups. Math. Ann., 151, 1963, 187-199. Received May 26, 1977. · Zbl 0114.25801 · doi:10.1007/BF01398232
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