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pro vyhledávání: '"Farley, Jonathan"'
We define a map from subspaces to Motzkin paths and show that the inverse image of every path is a disjoint union of symmetric Boolean subsets yielding an explicit symmetric Boolean decomposition of the subspace lattice.
Externí odkaz:
http://arxiv.org/abs/2407.06559
Autor:
Farley, Jonathan David
Let $P$ be a finite poset with an element $s$ such that (1) for all $x\in P$, either $s\vee x$ or $s\wedge x$ exists; and (2) for all $x,y\in P$ such that $x
Externí odkaz:
http://arxiv.org/abs/2201.01491
Gr\"atzer and Lakser asked in the 1971 {\sl Transactions of the American Mathematical Society} if the pseudocomplemented distributive lattices in the amalgamation class of the subvariety generated by ${\bf 2}^n\oplus{\bf 1}$ can be characterized by t
Externí odkaz:
http://arxiv.org/abs/2112.15433
Autor:
Sharrack, Noor, Brown, Louise A.E., Farley, Jonathan, Wahab, Ali, Jex, Nicholas, Thirunavukarasu, Sharmaine, Chowdhary, Amrit, Gorecka, Miroslawa, Javed, Wasim, Xue, Hui, Levelt, Eylem, Dall’Armellina, Erica, Kellman, Peter, Garg, Pankaj, Greenwood, John P., Plein, Sven, Swoboda, Peter P.
Publikováno v:
In Journal of Cardiovascular Magnetic Resonance Winter 2024 26(2)
Autor:
Farley, Jonathan David
In 1982, J\'onsson and McKenzie posed the following problem: "Find counter examples (or prove that none exist) to the refinement of $A^C\cong B^D$ [$A$, $B$, $C$, and $D$ non-empty posets] under" the condition "$C$, $D$, and $A^C$ are finite and conn
Externí odkaz:
http://arxiv.org/abs/2005.08477
Autor:
Farley, Jonathan David
In 1978, Dwight Duffus---editor-in-chief of the journal "Order" from 2010 to 2018 and chair of the Mathematics Department at Emory University from 1991 to 2005---wrote that "it is not obvious that $P$ is connected and $P^P$ isomorphic to $Q^Q$ implie
Externí odkaz:
http://arxiv.org/abs/2005.03255
Autor:
Farley, Jonathan David
It is proven that every geometric lattice of finite rank greater than 1 has a matching between the points and hyperplanes. This answers a question of P\'olya Prize-winner Anders Bj\"orner from the 1981 Banff Conference on Ordered Sets, which he raise
Externí odkaz:
http://arxiv.org/abs/2004.11972
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