A Presentation of Generalized Path Algebras

HOU Bo, YANG Shi-lin. A Presentation of Generalized Path Algebras[J]. Journal of Beijing University of Technology, 2011, 37(7): 1116-1120.

Citation:

HOU Bo, YANG Shi-lin. A Presentation of Generalized Path Algebras[J]. Journal of Beijing University of Technology, 2011, 37(7): 1116-1120.

Citation:

HOU Bo, YANG Shi-lin. A Presentation of Generalized Path Algebras[J]. Journal of Beijing University of Technology, 2011, 37(7): 1116-1120.

Abstract

Suppose that K is algebraically closed,Δ=(Δ₀,Δ₁) a finite quiver,A=A_i|i∈Δ₀ a family of K-algebras with identity.In this note,by constructing a quiver Γ,we show that the generalized path algebra R(Δ,A) is the quotients of path algebra KΓ.Therefore,we get some interesting corollaries.

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