Foxby equivalence over associative rings
交换代数
2007-05-23 v1 环与代数
摘要
We extend the definition of a semidualizing module to associative rings. This enables us to define and study Auslander and Bass classes with respect to a semidualizing bimodule C. We then study the classes of C-flats, C-projectives, and C-injectives, and use them to provide a characterization of the modules in the Auslander and Bass classes. We extend Foxby equivalence to this new setting. This paper contains a few results which are new in the commutative, noetherian setting.
引用
@article{arxiv.math/0611838,
title = {Foxby equivalence over associative rings},
author = {Henrik Holm and Diana White},
journal= {arXiv preprint arXiv:math/0611838},
year = {2007}
}
备注
24 pages