Order automorphisms on the lattice of residuated maps of some special nondistributive lattices.
Date on Master's Thesis/Doctoral Dissertation
Applied and Industrial Mathematics, PhD
Committee Co-Chair (if applicable)
Automorphisms; Modular lattices
The residuated maps from a lattice L to itself form their own lattice, which we denote Res(L). In this dissertation, we explore the order automorphisms on the lattice Res(L) where L is a finite nondistributive lattice. It is known that left and right composition of f ∈ Res(L) with automorphisms of L yields an order automorphism of Res(L). It begs the question, then, if all order automorphisms of Res(L) can be classified as such.
Foreman, Erika D., "Order automorphisms on the lattice of residuated maps of some special nondistributive lattices." (2015). Electronic Theses and Dissertations. Paper 2257.