On generalized κ-syzygy modules

摘要

In this paper, we first introduce the notion of generalized κ-syzygy modules, and then give an equivalent characterization that the class of generalized κ-syzygy modules coincides with that of ω-κ-torsionfree modules. We further study the extension closure of the category consisting of generalized κ-syzygy modules. Some known results are obtained as corollaries.