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Title: Unions of uniquely complemented lattices (English)
Author: Jakubík, Ján
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 122
Issue: 2
Year: 1997
Pages: 147-152
Summary lang: English
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Category: math
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Summary: In this paper we generalize a result of V. N. Salij concerning direct product decompositions of lattices which are complete and uniquely complemented. (English)
Keyword: uniquely complemented lattice
Keyword: generalized Boolean algebra
Keyword: direct product
MSC: 06B05
MSC: 06C15
idZBL: Zbl 0890.06005
idMR: MR1460944
DOI: 10.21136/MB.1997.125921
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Date available: 2009-09-24T21:24:16Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/125921
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Reference: [1] Dilworth R. P.: Lattices with unique complements.Trans. Amer. Math. Soc. 57 (1945) 123-154. Zbl 0060.06103, MR 0012263, 10.1090/S0002-9947-1945-0012263-6
Reference: [2] Salij V. N.: On complete lattices with unique complements.XIII All-Union Algebraic Conference, Abstracts of lectures and reports. Gomel, 1975, pp. 191-192. (In Russian.)
Reference: [3] Salij V. N.: Regular elements in complete uniquely complemented lattices.Universal algebra and applications, Banach Center Publ. Vol. 9. Warsaw, 1982, pp. 15-19. Zbl 0511.06005, MR 0738797, 10.4064/-9-1-15-19
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