Erratum to “On type 1 representable lattices of dimension at most 4”
نویسندگان
چکیده
منابع مشابه
Representable Idempotent Commutative Residuated Lattices
It is proved that the variety of representable idempotent commutative residuated lattices is locally finite. The n-generated subdirectly irreducible algebras in this variety are shown to have at most 3n+1 elements each. A constructive characterization of the subdirectly irreducible algebras is provided, with some applications. The main result implies that every finitely based extension of posit...
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Let L be a finite lattice and let L̂ = L − {0̂, 1̂}. It is shown that if the order complex ∆(L̂) satisfies H̃k−2 ( ∆(L̂) ) 6= 0 then |L| ≥ 2k. Equality |L| = 2k holds iff L is isomorphic to the Boolean lattice {0, 1}k.
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We consider the bipartite version of the degree/diameter problem, namely, given natural numbers ∆ ≥ 2 and D ≥ 2, find the maximum number Nb(∆,D) of vertices in a bipartite graph of maximum degree ∆ and diameter D. In this context, the Moore bipartite bound Mb(∆,D) represents an upper bound for Nb(∆,D). Bipartite graphs of maximum degree ∆, diameter D and order Mb(∆,D), called Moore bipartite gr...
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ژورنال
عنوان ژورنال: Algebra universalis
سال: 2013
ISSN: 0002-5240,1420-8911
DOI: 10.1007/s00012-013-0263-y