The trace property in preenveloping classes
Commutative Algebra
2023-03-08 v2 Rings and Algebras
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.
Cite
@article{arxiv.2202.03554,
title = {The trace property in preenveloping classes},
author = {Haydee Lindo and Peder Thompson},
journal= {arXiv preprint arXiv:2202.03554},
year = {2023}
}
Comments
Minor changes. Final version, to appear in Proc. Amer. Math. Soc. Ser. B; 15 pages