Abstract

Let [Formula: see text] be a trivial extension of a ring [Formula: see text] by an [Formula: see text]-[Formula: see text]-bimodule [Formula: see text]. We first study the transfer of some rings such as left [Formula: see text]-rings, left Kasch rings, left PS rings between [Formula: see text] and [Formula: see text]. Then we investigate how to construct [Formula: see text]-tilting modules and Gorenstein modules in [Formula: see text]-Mod from [Formula: see text]-Mod. Finally we exhibit the connections between preenvelopes (respectively, precovers) in [Formula: see text]-Mod and preenvelopes (respectively, precovers) in [Formula: see text]-Mod.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.