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The path algebra as a left adjoint functor. (arXiv:1704.06152v1 [math.RA])
来源于:arXiv
We consider an intermediate category between the category of finite quivers
and a certain category of pseudocompact associative algebras that contains all
finite dimensional algebras. We define the completed path algebra and the
Gabriel quiver as functors. We give an explicit quotient of the category of
algebras on which these functors form an adjoint pair. We show that these
functors respect ideals, obtaining in this way an equivalence between related
categories. 查看全文>>