# Periodic algebras which are almost Koszul

### Reference:

Brenner, S., Butler, M. C. R. and King, A. D., 2002. Periodic algebras which are almost Koszul. *Algebras and Representation Theory*, 5 (4), pp. 331-368.

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### Official URL:

http://dx.doi.org/10.1023/A:1020146502185

### Abstract

The preprojective algebra and the trivial extension algebra of a Dynkin quiver (in bipartite orientation) are very close to being a Koszul dual pair of algebras. In this case the usual duality theory may be adapted to show that each algebra has a periodic bimodule resolution built using the other algebra and some extra data: an algebra automorphism. A general theory of such lsquoalmost Koszulrsquo algebras is developed and other examples are given.

### Details

Item Type | Articles |

Creators | Brenner, S., Butler, M. C. R. and King, A. D. |

DOI | 10.1023/A:1020146502185 |

Departments | Faculty of Science > Mathematical Sciences |

Refereed | Yes |

Status | Published |

ID Code | 7376 |

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