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Article

Title: Poproduct of lattices (English)
Author: Ladzianska, Zuzana
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 32
Issue: 1
Year: 1982
Pages: 3-22
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Category: math
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MSC: 06B05
MSC: 06B20
MSC: 06B25
idZBL: Zbl 0484.06012
idMR: MR648216
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Date available: 2009-09-25T09:17:33Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/133059
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Reference: [1] ADAMS M. E., KELLY D.: Chain conditions in free products of lattices.Algebra Univ., 7, 1977, 235-243. Zbl 0358.06014, MR 0434894
Reference: [2] BALBES R., HORN A.: Order sums of distributive lattices.Pacif. J. of Math., 21, 1967, 421-435. Zbl 0157.34401, MR 0211928
Reference: [3] DEAN R. A.: Free lattices generated by partially ordered sets and preserving bounds.Canad. J. Math., 16, 1964, 136-148. Zbl 0122.25801, MR 0157916
Reference: [4] GRÄTZER G.: Universal Algebra.London 1968. MR 0248066
Reference: [5] GRÄTZER G., LAKSER H.: Free-lattice-like sublattices of free product of lattices.Proc. Amer. Math. Soc., 44, 1974, 43-45. MR 0327591
Reference: [6] GRÄTZER G., LAKSER H., PLATT C. R.: Free products of lattices.Fundam. Math., 69, 1970, 233-240. Zbl 0206.29703, MR 0274351
Reference: [7] GRÄTZER G., SICHLER J.: Free decomposition of a lattice.Canad. J. Math., 27, 1975, 276-285. MR 0369195
Reference: [8] HÖFT M.: The order sum in classes of partially ordered algebras.J. für die reine und angewandte Math., 278/279, 1975, 78-92. Zbl 0325.08002, MR 0389709
Reference: [9] JÓNSSON B.: Relatively free products of lattices.Algebra Univ., 1, 1971, 362-373. MR 0300946
Reference: [10] KUCERA T. G., SANDS B.: Lattices of lattice homomoprhisms.Algebra Univ., 8, 1978, 180-190. MR 0463056
Reference: [11] LADZIANSKA Z.: Poproduct of lattices and Sorkin's theorem.Mat. čas., 24, 1974, 247-252. Zbl 0288.06005, MR 0354460
Reference: [12] LADZIANSKA Z.: Chain conditions in the distributive poproduct of lattices.Mat. čas., 24, 1974, 349-356. MR 0384631
Reference: [13] LAKSER H.: Normal and canonical representations in free products of lattices.Canad. J. Math., 22, 1970, 394-402. Zbl 0288.06004, MR 0265232
Reference: [14] SORKIN, J I.: Svobodnye obedinenija struktur.Mat. sb. 30, 1952, 677-694.
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