Date on Master's Thesis/Doctoral Dissertation
8-2015
Document Type
Doctoral Dissertation
Degree Name
Ph. D.
Department
Mathematics
Degree Program
Applied and Industrial Mathematics, PhD
Committee Chair
Riedel, Thomas
Committee Co-Chair (if applicable)
Powers, Robert
Committee Member
Powers, Robert
Committee Member
Seif, Steven
Committee Member
Biro, Csaba
Committee Member
Usher, John
Subject
Automorphisms; Modular lattices
Abstract
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.
Recommended Citation
Foreman, Erika D., "Order automorphisms on the lattice of residuated maps of some special nondistributive lattices." (2015). Electronic Theses and Dissertations. Paper 2257.
https://doi.org/10.18297/etd/2257
