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Erschienen in:
2001 | OriginalPaper | Buchkapitel
Semicentral Reduced Algebras
verfasst von : Gary F. Birkenmeier, Jin Yong Kim, Jae Keol Park
Erschienen in: International Symposium on Ring Theory
Verlag: Birkhäuser Boston
Enthalten in: Professional Book Archive
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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.