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2022 Abstracts

Algebraic Partitions of Lattices

Presenter: Joseph Marrow
Authors: Joseph Marrow, Andrew Misseldine
Faculty Advisor: Andrew Misseldine
Institution: Southern Utah University

There are ways to cluster items in various algebras that respect the operations of the structure. Algebraic partitions of groups, in particular Schur rings, have been studied since the 1930's. In this talk we consider these constructions over other structures, such as semilattices.