An isomorphism lemma for graded rings

Author:

Bell Jason,Zhang James

Abstract

Let A A and B B be two connected graded algebras finitely generated in degree one. If A A is isomorphic to B B as ungraded algebras, then they are also isomorphic to each other as graded algebras.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. Isomorphism problems and groups of automorphisms for generalized Weyl algebras;Bavula, V. V.;Trans. Amer. Math. Soc.,2001

2. [BZ] J. Bell and J.J. Zhang, Zariski Cancellation Problem for Noncommutative Algebras, preprint (2016), arXiv:1601.04625.

3. The discriminant controls automorphism groups of noncommutative algebras;Ceken, S.;Adv. Math.,2015

4. Isomorphisms of some quantum spaces;Gaddis, Jason,2014

5. [Ga2] J. Gaddis, Isomorphisms of some quantum spaces, preprint (2013), arxiv:1210.8413.

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