BYU
BYU
Select Page

Abstract by Ryan Janai Kurth-Oliveira

Personal Infomation


Presenter's Name

Ryan Janai Kurth-Oliveira

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

Madeline May

Abstract Infomation


Department

Mathematics

Faculty Advisor

Martha Kilpack

Title

Representing Pine-cone and Christmas Tree Lattices as Algebraic Structures

Abstract

For an algebraic structure A, one can easily build a lattice from its subalgebras with the partial order of set inclusion. There is a constructive proof that every algebraic lattice is isomorphic to a subalgebra lattice. Although this construction works well for the purposes of the proof, in practice it will result in a surplus of functions. Given certain types of lattices, including the pinecone and the christmas tree, we will construct algebras that contain a more reasonable number of operations.