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Article

Title: Center of a bounded lattice (English)
Author: Jakubík, Ján
Language: English
Journal: Matematický časopis
ISSN: 0025-5173
Volume: 25
Issue: 4
Year: 1975
Pages: 339-343
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Category: math
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MSC: 06A20
MSC: 06B23
MSC: 06C05
MSC: 06C15
idZBL: Zbl 0316.06003
idMR: MR0444537
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Date available: 2009-09-25T08:39:15Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/126677
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Reference: [1] BIRKHOFF G.: Lattice theory, third edition.Amer. Math. Soc. Colloquium Publications Vol. XXV, Providence 1967. MR 0227053
Reference: [2] FOULIS D. J.: A note on orthomodular lattices.Portug. Math., 21, 1962, 65-72. Zbl 0106.24302, MR 0148581
Reference: [3] HOLLAND, Jr. S. S.: A Radon-Nikodym Theorem in dimension lattices.Trans. Amer. Math. Soc, 108, 1963, 66-87. Zbl 0118.02501, MR 0151407
Reference: [4] JAKUBÍK J.: Relácie kongruentnosti a slabá projektívnosť vo zväzoch.Časop. pěstov. mat., 80, 1955, 206-216. MR 0078337
Reference: [5] JAKUBÍK J.: Centrum nekonečne distributívnych zväzov.Mat. fyz. čas. 8, 1957, 116-120. MR 0099942
Reference: [6] JAKUBÍK J.: Center of a complete lattice.Czechosl. Math. J. 23, 1973, 125-138. Zbl 0262.06006, MR 0319831
Reference: [7] JANOWITZ M. F.: The center of a complete relatively complemented lattice is a complete sublattice.Proc. Amer. Math. Soc., 18, 1967, 189-190. Zbl 0154.01002, MR 0200209
Reference: [8] KAPLANSKY J.: Any orthocomplemented complete modular lattice is a continuous geometry.Ann. Math., 61, 1955, 524 - 541. Zbl 0065.01801, MR 0088476
Reference: [9] MAEDA S.: On relatively semi-orthocomplemented lattices.Hiroshima Univ. J. Sci. Ser. A 24, 1960, 155-161. Zbl 0178.33701, MR 0123494
Reference: [10] von NEUMANN J.: Continuous geometry.Princeton Univ. Press, N. Y., 1960. Zbl 0171.28003, MR 0120174
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