We present a construction of finite distributive lattices with a given skeleton. In the case of an H-irreducible skeleton K the construction provides all finite distributive lattices based on K, in particular the minimal one.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1077, author = {Joanna Grygiel}, title = {Distributive lattices with a given skeleton}, journal = {Discussiones Mathematicae - General Algebra and Applications}, volume = {24}, year = {2004}, pages = {75-94}, zbl = {1063.06005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1077} }
Joanna Grygiel. Distributive lattices with a given skeleton. Discussiones Mathematicae - General Algebra and Applications, Tome 24 (2004) pp. 75-94. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1077/
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