Nakayama algebra

Nakayama algebra

In algebra, a Nakayama algebra or generalized uniserial algebra is an algebra such that the left and right projective modules have a unique composition series (Reiten 1982, p. 39). They were studied by Tadasi Nakayama (1940) who called them "generalized uni-serial rings".

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.

References


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