The trace property in preenveloping classes

Haydee Lindo; Peder Thompson

doi:10.1090/bproc/157

journal article Open Access Mar 10, 2023

The trace property in preenveloping classes

Proceedings of the American Mathematical Society, Series B Vol. 10 No. 5 pp. 56-70 · American Mathematical Society (AMS)

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Abstract

We develop 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 identify new examples of trace ideals and trace modules, and characterize several classes of rings with a focus on the Gorenstein and regular properties.

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Details

Published: Mar 10, 2023
Vol/Issue: 10(5)
Pages: 56-70
License: View

Authors

Funding

National Science Foundation Award: 2137949

Cite This Article

Haydee Lindo, Peder Thompson (2023). The trace property in preenveloping classes. Proceedings of the American Mathematical Society, Series B, 10(5), 56-70. https://doi.org/10.1090/bproc/157

The trace property in preenveloping classes

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