- Research Article
- 10.1112/jlms.70204
The stable category of Gorenstein‐projective modules over a monomial algebra
- Jun 01, 2025
- Journal of the London Mathematical Society
- Takahiro Honma + 1 more +1
Abstract Let be an arbitrary monomial algebra. We investigate the stable category of graded Gorenstein‐projective ‐modules and the orbit category induced by and the degree shift functor (1). We prove that is triangle equivalent to the bounded derived category of a path algebra of Dynkin type and that is triangle equivalent to the stable module category of a self‐injective Nakayama algebra. Both the path algebra and the self‐injective Nakayama algebra will be given explicitly. The latter result provides an explicit description of the stable category of (ungraded) Gorenstein‐projective ‐modules.
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