Unions of uniquely complemented lattices
Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 147-152
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MR Zbl
In this paper we generalize a result of V. N. Salij concerning direct product decompositions of lattices which are complete and uniquely complemented.
In this paper we generalize a result of V. N. Salij concerning direct product decompositions of lattices which are complete and uniquely complemented.
DOI :
10.21136/MB.1997.125921
Classification :
06B05, 06C15
Keywords: uniquely complemented lattice; generalized Boolean algebra; direct product
Keywords: uniquely complemented lattice; generalized Boolean algebra; direct product
Jakubík, Ján. Unions of uniquely complemented lattices. Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 147-152. doi: 10.21136/MB.1997.125921
@article{10_21136_MB_1997_125921,
author = {Jakub{\'\i}k, J\'an},
title = {Unions of uniquely complemented lattices},
journal = {Mathematica Bohemica},
pages = {147--152},
year = {1997},
volume = {122},
number = {2},
doi = {10.21136/MB.1997.125921},
mrnumber = {1460944},
zbl = {0890.06005},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.125921/}
}
[1] Dilworth R. P.: Lattices with unique complements. Trans. Amer. Math. Soc. 57 (1945) 123-154. | DOI | MR | Zbl
[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.)
[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. | DOI | MR | Zbl
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