In mathematics, 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 who called them "generalized uni-serial rings". These algebras were further studied by and later by , by and by .
An example of a Nakayama algebra is k[x]/(x<sup>n</sup>) for k a field and n a positive integer.
Current usage of uniserial differs slightly: an explanation of the difference appears here.