Geodesic
Directly indecomposable direct factors of a lattice
Mathematica Bohemica, Tome 121 (1996) no. 3, pp. 281-292

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MR Zbl
In this paper we generalize a result of Libkin concerning direct product decompositions of lattices.
In this paper we generalize a result of Libkin concerning direct product decompositions of lattices.
DOI : 10.21136/MB.1996.125983
Classification : 06B05
Keywords: direct product of lattices; algebraic lattice; strictly irreducible element; conditional completeness; strictly join-irreducible elements 
Jakubík, Ján. Directly indecomposable direct factors of a lattice. Mathematica Bohemica, Tome 121 (1996) no. 3, pp. 281-292. doi: 10.21136/MB.1996.125983
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[1] G. Grätzer: General Lattice Theory. Birkhäuser Verlag, Basel, 1978. | MR

[2] J. Hashimoto: On direct product decompositions of partially ordered sets. Ann. of Math. 54 (1951), 315-318. | DOI | MR

[3] J. Jakubík: Weak product decompositions of discrete lattices. Czechoslovak Math. J. 21 (1971), 399-412. | MR

[4] J. Jakubík: Weak product decompositions of partially ordered sets. Colloq. Math. 25 (1972), 177-190. | DOI | MR

[5] L. Libkin: Direct decompositions of atomistic algebraic lattices. Algebra Universalis 33 (1995), 127-135. | DOI | MR | Zbl

[6] G. Richter: On the structure of lattices in which every element is a join of join-irreducible elements. Period. Math. Hungar. 13 (1982), 47-69. | DOI | MR | Zbl

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