A Survey of Rings Satisfying Annihilator or Extending Conditions on Projection Invariant Ideals

  • Gary F. BirkenmeierEmail author
  • Yeliz Kara
  • Adnan Tercan
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 277)


In this paper, we survey results involving the projection invariant condition on one-sided ideals of rings. We focus on rings satisfying the right projection invariant extending condition (denoted right \(\pi \)-extending) or the projection invariant Baer condition (denoted \(\pi \)-Baer). Examples are provided to illustrate and delimit the results.


Baer ring Quasi-Baer ring Extending module Extending ring FI-extending Projection invariant Ring extension 

2010 AMS Subject Classification:

16D10 16S36 16S50 16N60 16S70 16S75 16W60 



We wish to thank the referee and the editor for their efforts.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Gary F. Birkenmeier
    • 1
    Email author
  • Yeliz Kara
    • 2
  • Adnan Tercan
    • 3
  1. 1.Department of MathematicsUniversity of Louisiana at LafayetteLafayetteUSA
  2. 2.Department of MathematicsBursa Uludağ UniversityBursaTurkey
  3. 3.Department of MathematicsHacettepe UniversityAnkaraTurkey

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