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An exotic finite pretriangulated category over any algebraically closed field

Javier Díaz Cabrera, Fernando Muro

math.RTarXiv:2608.15203

Abstract

We show that, over any algebraically closed field of any characteristic, the category of finite-dimensional projective modules over the preprojective algebra of generalized Dynkin type L2 has a pretriangulated category structure which is neither an algebraic nor a topological triangulated category structure.

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