Semicentral Reduced Algebras

  • Gary F. Birkenmeier
  • Jin Yong Kim
  • Jae Keol Park
Part of the Trends in Mathematics book series (TM)


An idempotent e of an algebra R is left semicentral if Re = eRe. If 0 and 1 are the only left semicentral idempotents in R, then R is called semicentral reduced. Recent results on generalized triangular matrix algebras and semicentral reduced algebras are surveyed. New results are provided for endomorphism algebras of modules and for semicentral reduced algebras. In particular, semicentral reduced rings which are right FPF, right nonsingular, or left perfect are described.


Left Ideal Prime Ring Primitive Idempotent Trivial Extension Orthogonal Idempotent 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Gary F. Birkenmeier
    • 1
  • Jin Yong Kim
    • 2
  • Jae Keol Park
    • 3
  1. 1.Department of MathematicsUniversity of Louisiana at LafayetteLafayetteUSA
  2. 2.Department of MathematicsKyung Hee UniversitySuwonKorea
  3. 3.Department of MathematicsPusan National UniversityPusanKorea

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