Property: quasi-Frobenius

Definition: Noetherian and self-injective

Resources for learning about this property:

  • F. W. Anderson and K. R. Fuller. Rings and categories of modules. (2012) @ Chapter 8, Section 30
  • T.-Y. Lam. Lectures on modules and rings. (2012) @ Sections 15, 16
  • W. K. Nicholson and M. F. Yousif. Quasi-Frobenius Rings. (2003) @ .


This property has the following metaproperties
  • Morita invariant
  • passes to matrix rings
  • passes to $eRe$ for any full idempotent $e$
  • stable under finite products
This property does not have the following metaproperties