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arXiv · 2202.03554

The trace property in preenveloping classes

Haydee Lindo·Peder Thompson
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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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Haydee Lindo, Peder Thompson. 2022-02-07. The trace property in preenveloping classes. https://arxiv.org/abs/2202.03554

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