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Original Articles

Koszulity of some path categories

Pages 4084-4092 | Received 08 Jun 2015, Published online: 06 Feb 2017
 

ABSTRACT

We prove Koszulity of certain linear path categories obtained from connected graphs with some infinite directed walk. These categories can be viewed as locally quadratic dual to preprojective algebras.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgment

The author is very grateful to his supervisor Volodymyr Mazorchuk for a lot of stimulating discussion and help with putting this article together.

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