Chairperson, Graduate Committee: Ryan GradyOren, Garrett Halling2022-03-102022-03-102021https://scholarworks.montana.edu/handle/1/16287The center, or the largest commutative subobject, of algebraic structures plays a critical role in understanding these structures. We first present the classical notions of center of some common algebraic structures. Then we use a categorical definition to find the center and more generally centralizer of any given morphism in several categories of algebraic structures.enAlgebra, AbstractMorphisms (Mathematics)ThesisCopyright 2021 by Garrett Halling Oren