Maximal Dedekind completion of an abelian lattice-ordered group
Czechoslovak Mathematical Journal, Tome 28 (1978) no. 4, pp. 611-631
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DOI : 10.21136/CMJ.1978.101563
Classification : 06F20
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     title = {Maximal {Dedekind} completion of an abelian lattice-ordered group},
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}
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Jakubík, Ján. Maximal Dedekind completion of an abelian lattice-ordered group. Czechoslovak Mathematical Journal, Tome 28 (1978) no. 4, pp. 611-631. doi: 10.21136/CMJ.1978.101563

[1] G. Birkhoff: Lattice theory. third edition. Providence 1967. | MR | Zbl

[2] P. Conrad: Lattice ordered groups. Tulane University 1970. | Zbl

[3] P. Conrad: Some structure theorems for lattice ordered groups. Trans. Amer. Math. Soc. 99 (1961), 212-240. | DOI | MR | Zbl

[4] Š. Černák: Completely subdirect products of lattice ordered groups. Acta fac. rer. nat. Univ. Comen., Mathem., 1971, 121-128. | MR

[5] С. J. Everett: Sequence completion of lattice moduls. Duke Math. J. 11 (1944), 109-119. | DOI | MR | Zbl

[6] Л. Фукс: Частично упорядоченные алгебраические системы. Москва 1965. | Zbl

[7] J. Jakubík: Radical classes and radical mappings of lattice ordered groups. Symposia mathem. 31 (1977), 451-477. | MR

[8] J. Jakubík: Archimedean kernel of a lattice ordered group. Czech. Math. J. 28 (1978), 140-154. | MR

[9] J. Jakubík: Generalized Dedekind completion of a lattice ordered group. Czech. Math. J. 25 (1978), 294-311. | MR

[10] F. Šik: Über subdirekte Summen geordneter Gruppen. Czech. Math. J. 10 (1960), 400-424. | MR

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