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Non-commutative rings and algebras, non-associative algebras. Can be used in combination with ra.rings-and-algebras

5 votes
2 answers
338 views

Gelfand-Kirillov dimension of generalized Weyl algebras

I believe that the Gelfand-Kirillov (GK) dimension for a generalized Weyl algebra $D(\sigma,a)$ is just the GKdim$(D) + 1$. Does anyone have a reference for this? I can find partial results, and I …
No1729's user avatar
  • 201
0 votes
0 answers
87 views

When does an automorphism extend to a localisation (noncommutative rings)

Let $R$ be a (not necessarily commutative) ring. Let $\tau$ be an automorphism of $R$. Consider the localisation of $R$ at a set of multiplicative elements which satisfy the ore condition, say $X$. Wh …
No1729's user avatar
  • 201
5 votes
0 answers
312 views

Hochschild Cohomology of the Quantum Torus

I would like some advice on how to compute directly, or by a higher powered method the Hochschild Cohomology groups of the quantum torus using the stated complex I have found. I think there are probab …
No1729's user avatar
  • 201