Haydee Lindo, Harvey Mudd College
Authors: Haydee Lindo, Peder Thompson
2022 AWM Research Symposium
Homological and Combinatorial Aspects of Commutative Algebra

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.

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