3 citations · 9 across the 11 of their papers we have counts for
10 papers · 1 filter
Does the Endomorphism Ordered Set of a Finite Ordered Set Determine the Ordered Set? The Cases of Height and "Trebled" Ordered Sets
Jonathan David Farley
For ordered sets and , let denote the ordered set of order-preserving maps from to , where in if for all . Let and …
Subspaces, subsets, and Motzkin paths
Jonathan D. Farley, Murali K. Srinivasan
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 Boolea…
A Conjecture of Kozlov from the 1998 Proceedings of the American Mathematical Society: Non-Evasive Order Complexes and Generalizations of Non-Complemented Lattices
Jonathan David Farley
Let be a finite poset with an element such that (1) for all , either or exists; and (2) for all such that , if doe…
On a Question of Grätzer and Lakser from the 1971 {\sl Transactions of the American Mathematical Society}
Jonathan David Farley, Dominic van der Zypen
Grätzer and Lakser asked in the 1971 {\sl Transactions of the American Mathematical Society} if the pseudocomplemented distributive lattices in the amalgamation class of the subvar…
Another Problem of Jónsson and McKenzie from 1982: Refinement Properties for Connected Powers of Posets
Jonathan David Farley
In 1982, Jónsson and McKenzie posed the following problem: "Find counter examples (or prove that none exist) to the refinement of [, , , and non-empty p…
An Issue Raised in 1978 by a Then-Future Editor-in-Chief of the Journal "Order": Does the Endomorphism Poset of a Finite Connected Poset Tell Us That the Poset Is Connected?
Jonathan David Farley
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…