Property: semiprimitive

Resources for learning about this property:

  • N. Jacobson. Basic algebra II. (2012) @ Section 4.1
  • T.-Y. Lam. A first course in noncommutative rings. (2013) @ Chapter 2

Metaproperties:

This property has the following metaproperties
  • Morita invariant
  • passes to $eRe$ for any full idempotent $e$
  • passes to matrix rings
  • stable under finite products
  • stable under products