Adaricheva, KiraWehrung, Freidrich2016-02-092016-02-092005Adaricheva Kira, Wehrung Freidrich; 2005; Embedding finite lattices into finite biatomic lattices; arXiv.orghttp://nur.nu.edu.kz/handle/123456789/1219For a class C of finite lattices, the question arises whether any lattice in C can be embedded into some atomistic, biatomic lattice in C. We provide answers to the question above for C being, respectively, — The class of all finite lattices; — The class of all finite lower bounded lattices (solved by the first author’s earlier work). — The class of all finite join-semidistributive lattices (this problem was, until now, open). We solve the latter problem by finding a quasi-identity valid in all finite, atomistic, biatomic, join-semidistributive lattices but not in all finite join-semidistributive latticesenAttribution-NonCommercial-ShareAlike 3.0 United StatesResearch Subject Categories::MATHEMATICSembedding finite latticesArticle