Convex isomorphisms of directed multilattices
Mathematica Bohemica, Tome 118 (1993) no. 4, pp. 359-378

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By applying the solution of the internal direct product decomposition we investigate the relations between convex isomorphisms and direct product decompositions of directed multilattices.
By applying the solution of the internal direct product decomposition we investigate the relations between convex isomorphisms and direct product decompositions of directed multilattices.
DOI : 10.21136/MB.1993.126157
Classification : 06A06, 06A99, 06B99
Keywords: direct product decomposition; convex isomorphisms; directed multilattices; directly indecomposable lattices; internal direct product decomposition; directed set; multilattice
Jakubík, Ján; Csontóová, Mária. Convex isomorphisms of directed multilattices. Mathematica Bohemica, Tome 118 (1993) no. 4, pp. 359-378. doi: 10.21136/MB.1993.126157
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[1] M. Benado: Sur la théorie de la divisibilité. Acad. R. P. Romine, Bul. Sti. Sect. Mat. Fiz. 6 (1954), 263-270. | MR | Zbl

[2] C. C. Chen M. K. Koh: On the lattice of convex sublattices of a finite lattice. Nanta Math. 5 (1972), 93-95. | MR

[3] J. Hashimoto: On direct product decompositions of partially ordered sets. Annals of Math. 54 (1951), 315-318. | DOI | MR

[4] J. Jakubík M. Kolibiar: On some properties of pairs of lattices. Czechoslov. Math. J. 4 (1954), 1-27. (In Russian.) | MR

[5] M. Kolibiar: Intervals, convex sublattices and subdirect representations of lattices. Universal algebra and applications, Banach Center Publications, Vol. 9, Warszawa, 1980, pp. 335-339. | DOI | MR

[6] M. Kolibiar J. Lihová: Convex automorphisms of a lattice. Math. Slovaca, to appear. | MR

[7] A. G. Kurosh: Group Theory. Third edition, Moskva, 1967. (In Russian.) | Zbl

[8] V. I. Marmazeev: The lattice of convex sublattices of a lattice. Ordered sets and lattices No. 9, Saratov. Gos. Univ., Saratov, 1986, pp. 50-58. (In Russian.) | MR | Zbl

[9] V. I. Marmazeev: A group of automorphisms of the lattice of convex sublattices of a lattice. Vestsi Akad. Navuk BSSR, Ser. fiz. mat. navuk (1988), no. 6, 110-112. (In Russian, English summary.) | MR

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