Property: (right/left) primitive

Resources for learning about this property:

  • F. W. Anderson and K. R. Fuller. Rings and categories of modules. (2012) @ Chapter 4
  • N. Jacobson. Basic algebra II. (2012) @ Section 4.1
  • T.-Y. Lam. A first course in noncommutative rings. (2013) @ Chapter 4

Metaproperties:

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