Graduation Year


Document Type

Campus Only Senior Thesis

Degree Name

Bachelor of Science


Mathematical Sciences

Reader 1

Haydee Lindo

Reader 2

Michael Orrison

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Rights Information

© 2022 Madelyn V Andersen


The sum of all $R$-homomorphisms from a module $M$ to $R$ is called the trace ideal of $M$ in $R$. The trace ideal is an object studied by ring theorists in a variety of contexts. We may utilize trace ideals, and by extension trace modules, to understand ring classification and module classifications. We will introduce the idea of a trace module which is the sum of all $R$-homomorphisms from a module $M$ to another module $N$. This is a sort of generalization of the trace ideal as it removes the restriction that the target module is $R$. The trace module may be used to explore the same two lines of questioning that the trace ideal is being used for.

This thesis is restricted to the Claremont Colleges current faculty, students, and staff.