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OP-11361Status unassessedAlgebra

Sklyanin algebras and cocycle twists · Question 12.2

Noncommutative surfaces and Artin's conjecture · AIMPL workshop record

MSC 16 · Associative rings and algebras

Editorial mapping of AIMPL list topic: Noncommutative surfaces and Artin's conjecture. http://aimpl.org/ncsurfaceartin/ Not an author-supplied MSC code.

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Problem statement

Suppose AA is an AS regular algebra which is Koszul, Auslander regular, Cohen-Macaulay etc. and that there exists a homogeneous central element Ω\Omega. If Proj(A/(Ω))\text{Proj}(A/(\Omega)) has finite global dimension, is A/(Ω)A/(\Omega) a domain?

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References
  1. [1]Noncommutative surfaces and Artin's conjecture · Original question link
  2. [2]AIMPL source bibliography link
  3. [3]AIMPL text license · CC BY-SA 3.0 linkAIM Problem Lists (AIMPL), original contributors; CC BY-SA 3.0. Adaptation: structural TeX converted to Markdown, documented source macros expanded, and source bibliography links added. Mathematical wording retained. These adapted source texts remain under CC BY-SA 3.0.

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