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
Jakubík, Ján. Unions of uniquely complemented lattices. Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 147-152. doi: 10.21136/MB.1997.125921
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[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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