A Generalized Version of the Tilting Theorem

Abstract

It is well known that tilting modules are of particular importance in the general theory of modules. One of the roles of a tilting module _R ω is that it provides a connection between the categories of modules over R and S = End( _R ω). This connection is described in the Tilting Theorem. In this article, we get a generalized version of the Tilting Theorem for a Wakamatsu tilting module _R ω.

Key Words:

• Tilting module
• Tilting theorem
• Wakamatsu tilting module

2000 Mathematics Subject Classification:

• 16D10

ACKNOWLEDGMENTS

This research was partially supported by NSFCs (Nos. 11071111 and 11026141). The authors thank the referee for the very helpful comments and suggestions.

Notes

Communicated by D. Zacharia.