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About: Nakayama algebra     Goto   Sponge   NotDistinct   Permalink

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In algebra, a Nakayama algebra or generalized uniserial algebra is an algebra such that each left or right indecomposable projective module has a unique composition series. They were studied by Tadasi Nakayama who called them "generalized uni-serial rings". These algebras were further studied by and later by Ichiro Murase, by Kent Ralph Fuller and by Idun Reiten. An example of a Nakayama algebra is k[x]/(xn) for k a field and n a positive integer. Current usage of uniserial differs slightly: an explanation of the difference appears here.