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International Symposium on Ring Theory pp 67–84Cite as

Birkhäuser

Semicentral Reduced Algebras

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Part of the book series: Trends in Mathematics ((TM))

Abstract

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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504-1010, USA

    Gary F. Birkenmeier

  2. Department of Mathematics, Kyung Hee University, Suwon, 449-701, Korea

    Jin Yong Kim

  3. Department of Mathematics, Pusan National University, Pusan, 609-735, Korea

    Jae Keol Park

Authors
  1. Gary F. Birkenmeier
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  2. Jin Yong Kim
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  3. Jae Keol Park
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504-1010, USA

    Gary F. Birkenmeier

  2. Department of Mathematics, Pusan National University, Pusan, 609-735, Korea

    Jae Keol Park

  3. Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea

    Young Soo Park

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© 2001 Springer Science+Business Media New York

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Birkenmeier, G.F., Kim, J.Y., Park, J.K. (2001). Semicentral Reduced Algebras. In: Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds) International Symposium on Ring Theory. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0181-6_4

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  • DOI: https://doi.org/10.1007/978-1-4612-0181-6_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6650-1

  • Online ISBN: 978-1-4612-0181-6

  • eBook Packages: Springer Book Archive

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