Algebra properties invariant under twisting
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چکیده
For a finite-dimensional Hopf algebra H over a field k and an Hcomodule algebra A, we study properties of A which are preserved when A is twisted by a Hopf 2-cocycle σ on H. We prove that if there exists σ such that Aσ is super-commutative, then A being affine imples that A is Noetherian. If also Hσ is commutative, then A is integral over a central subring of AcoH . We also consider when A satisfies a polynomial identity.
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