Property: (right/left) perfect

Resources for learning about this property:

  • A. A. Tuganbaev. Semidistributive modules and rings. (2012) @ Chapter 6
  • F. W. Anderson and K. R. Fuller. Rings and categories of modules. (2012) @ Chapter 7, Section 28
  • T.-Y. Lam. A first course in noncommutative rings. (2013) @ Chapter 8


This property has the following metaproperties
  • passes to $eRe$ for any idempotent $e$
  • passes to $eRe$ for any full idempotent $e$