Isomorphisms of graded path algebras

Abstract

We prove that if two path algebras with homogeneous relations are isomorphic as algebras, then they are isomorphic as graded path algebras. This extends a result by Bell and Zhang in the connected case.

Expanded version to give some additional details

References in corpus (4)

• The isomorphism problem for quantum affine spaces, homogenized quantized Weyl algebras, and quantum matrix algebras
• Growth of Graded Twisted Calabi-Yau Algebras
• Quivers supporting twisted Calabi-Yau algebras
• Zariski cancellation problem for non-domain noncommutative algebras