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Jakubik, Jan

Generalized Dedekind completion of a lattice ordered group. (English) Zbl 0391.06013

Czech. Math. J. 28(103), 294-311 (1978).
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Cited in 6 Documents

MSC:

06F15 Ordered groups
06B23 Complete lattices, completions
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces

Keywords:

Generalized Dedekind Completion; Radical Class of Groups; Lattice Ordered Group; Epiarchimedean and Conditionally Orthogonally Complete Group; Archimedean Kernel of a Group; Strongly Projectable Group

Citations:

Zbl 0378.06009; Zbl 0384.06021
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\textit{J. Jakubik}, Czech. Math. J. 28(103), 294--311 (1978; Zbl 0391.06013)
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References:

[1] G. Birkhoff: Lattice theory. third edition, Providence 1967. · Zbl 0153.02501
[2] F. Conrad: Lattice ordered groups. Tulane University 1970. · Zbl 0258.06011
[3] [31 F. Conrad: Epiarchimedean lattice ordered groups. Czech. Math. J. 24 (1974), 192-218. · Zbl 0319.06009
[4] F. Conrad: Changing the scalar multiplication on a vector lattice. J. Austral. Math. Soc. 20(1975), 33 - 347. · Zbl 0317.06014
[5] Л. Фукс: Частично упорядоченные алгебраические системы. Москва, 1965. · Zbl 1099.01519
[6] J. Jakubík: Die Dedekindschen Schnitte im direkten Produkt von halbgeordneten Gruppen. Matem. fyz. casop. 16 (1966), 329-336. · Zbl 0154.02602
[7] J. Jakubík: Distributivity in lattice ordered groups. Czech. Math. J. 22 (1972), 108-125. · Zbl 0244.06014
[8] J. Jakubík: On \(\alfa\)-complete lattice ordered groups. Czech. Math. J. 23 (1973), 164-174.
[9] J. Jakubík: Conditionally a-complete sublattices of a distributive lattice. Algebra univ. 2 (1972), 255-261. · Zbl 0258.06008
[10] J. Jakubík: Archimede kernel of a lattice ordered group. Czech. Math. J. 25 (1978), 140-154.
[11] J. Jakubík: Radical classes and radical mappings of lattice ordered groups. Symposia Math. 31 (1977), 451-477.
[12] J. Martinez: Pairwise splitting lattice ordered groups. Czech. Math. J. 27(1977), 545-551. · Zbl 0378.06009
[13] Г. Я. Роткович: О дизъюнктно полных архимедовых полуупорядоченных группах. Czech. Math. J. 27 (1977), 523-527. · Zbl 1170.01341
[14] Б. Z. Вулих: Введение в теорию полуупорядоченных пространств. Москва 1961. · Zbl 1160.68305
[15] E. C. Weinberg: Completely distributive lattice ordered groups. Pacif. J. Math. 12 (1962), 1131-1148. · Zbl 0111.24301
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.