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Article

Kolibiar, Milan
Direct factors of multilattice groups. II. (English). Archivum Mathematicum, vol. 28 (1992), issue 1, pp. 83-84
MSC: 06F15 | MR 1201869 | Zbl 0779.06012
Keywords:
partially ordered group; multilattice group; distributivity; retract; direct product
Summary:
Subgroups of a directed distributive multilattice group $G$ are characterized which are direct factors of $G$. The main result is formulated in Theorem 2.
Related articles:
Direct factors of multilattice groups
References:
[1] Kolibiar M.: Direct factors of multilattice groups. Archivum Math. (Brno) 26 (1990), 121-128. MR 1188271 | Zbl 0728.06014
[2] Benado M.: Sur la théorie de la divisibilité. Bull. Sti. Sect. Sti. Mat. - Fiz. 6 (1954), Acad. R. P. Romîne, 263-270. MR 0067089 | Zbl 0057.25301
[3] McAlister D. B.: On multilattice groups. Proc. Cambridge Philos. Soc. 61 (1965), 621-638. MR 0175819 | Zbl 0135.06203
[4] Birkhoff G.: Lattice Theory. Amer. Math. Soc. Colloquium . XXV (1948), Publ. revised edition,, New York. MR 0029876 | Zbl 0033.10103
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