In this talk we will discuss the theory of trace modules up to isomorphism and explore the relationship between preenveloping classes of modules and the property of being a trace module, guided by the question of whether a given module is trace in a given preenvelope. As a consequence we use trace modules to characterize several classes of rings with a focus on the Gorenstein and regular properties. This is joint work with Peder Thompson.
The Trace Property in Preenveloping Classes
Haydee Lindo, Harvey Mudd CollegeAuthors: Haydee Lindo, Peder Thompson
2022 AWM Research Symposium
Homological and Combinatorial Aspects of Commutative Algebra