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of 2 860
pro vyhledávání: '"Distributive lattice"'
Autor:
J. B. Nation
Publikováno v:
Cubo, Vol 26, Iss 3, Pp 443-473 (2024)
We show that there are finite distributive lattices that are not the congruence lattice of any finite semidistributive lattice. For \(0 \leq k \leq 2\), the distributive lattice \((\mathbf{B}_k)_{++} = \mathbf{2} + \mathbf{B}_k\), where \(\mathbf{B}_
Externí odkaz:
https://doaj.org/article/96d5f17a4e8b4261b32672878f0ab028
Autor:
Gábor Czédli
Publikováno v:
Cubo, Vol 26, Iss 2, Pp 217-237 (2024)
For a finite lattice \(L\), let Gm(\(L\)) denote the least \(n\) such that \(L\) can be generated by \(n\) elements. For integers \(r>2\) and \(k>1\), denote by FD\((r)^k\) the \(k\)-th direct power of the free distributive lattice FD(\(r\)) on \(r\)
Externí odkaz:
https://doaj.org/article/d83b0c0f9ebb40058a70fd364b4ff234
Publikováno v:
Cubo, Vol 26, Iss 2, Pp 279-302 (2024)
We describe the digraphs that are dual representations of finite lattices satisfying conditions related to meet-distributivity and modularity. This is done using the dual digraph representation of finite lattices by Craig, Gouveia and Haviar (2015).
Externí odkaz:
https://doaj.org/article/b8502aa5605d40c4a89374b934624b06
Autor:
Gábor Czédli
Publikováno v:
Ural Mathematical Journal, Vol 10, Iss 1 (2024)
For a finite poset (partially ordered set) \(U\) and a natural number \(n\), let \(S(U,n)\) denote the largest number of pairwise unrelated copies of \(U\) in the powerset lattice (AKA subset lattice) of an \(n\)-element set. If \(U\) is the singleto
Externí odkaz:
https://doaj.org/article/f36474f5d2874f20b973fc87c6baed60
Autor:
Henri Mühle
Publikováno v:
Mathematica Bohemica, Vol 148, Iss 1, Pp 95-104 (2023)
This paper is an erratum of H. Mühle: Distributive lattices have the intersection property, Math. Bohem. (2021). Meet-distributive lattices form an intriguing class of lattices, because they are precisely the lattices obtainable from a closure opera
Externí odkaz:
https://doaj.org/article/89f161f2bace49659995f3a8661e9127
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 1276-1287 (2022)
In this article, we further study the filter theory of semihoops. Moreover, we use the prime (maximal) filters to construct the prime (maximal) spectrum on semihoops, and prove that the prime spectrum is a compact T0{T}_{0} topological space and that
Externí odkaz:
https://doaj.org/article/0413b28fb3a24295a575bdccd31b2500
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