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Nakayama algebra


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**n) 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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