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 ( 1940) who called them "generalized uni-serial rings". These algebras were further studied by Herbert Kupisch ( 1959) and later by Ichiro Murase ( 1963-64), by Kent Ralph Fuller ( 1968) and by Idun Reiten ( 1982).
An example of a Nakayama algebra is kx]/(xn) for k a field and n a positive integer.
Current usage of uniserial differs slightly: an explanation of the difference appears here.
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 ( 1940) who called them "generalized uni-serial rings". These algebras were further studied by Herbert Kupisch ( 1959) and later by Ichiro Murase ( 1963-64), by Kent Ralph Fuller ( 1968) and by Idun Reiten ( 1982).
An example of a Nakayama algebra is kx]/(xn) for k a field and n a positive integer.
Current usage of uniserial differs slightly: an explanation of the difference appears here.