Skip to main content
MathOverflow

Return to Question

Notice removed Draw attention by CommunityBot
Bounty Ended with no winning answer by CommunityBot
Notice added Draw attention by Mare
Bounty Started worth 100 reputation by Mare
added 64 characters in body
Source Link
Mare
Mare
  • 26.5k
  • 6
  • 25
  • 104

is the following true (all algebras and modules are assumed to be finite dimensional): The finitistic dimension of an algebra is equal to the supremum of projective dimensions of tilting modules? It is true for Gorenstein algebras, since there D(A) is a tilting module.

is the following true: The finitistic dimension of an algebra is equal to the supremum of projective dimensions of tilting modules? It is true for Gorenstein algebras, since there D(A) is a tilting module.

is the following true (all algebras and modules are assumed to be finite dimensional): The finitistic dimension of an algebra is equal to the supremum of projective dimensions of tilting modules? It is true for Gorenstein algebras, since there D(A) is a tilting module.

deleted 48 characters in body
Source Link
Mare
Mare
  • 26.5k
  • 6
  • 25
  • 104

is the following true: The finitistic dimension of an algebra is equal to the supremum of projective dimensions of tilting modules (or injective dimensions of cotilting modules?)? It is true for Gorenstein algebras, since there D(A) is a tilting module.

is the following true: The finitistic dimension of an algebra is equal to the supremum of projective dimensions of tilting modules (or injective dimensions of cotilting modules?)? It is true for Gorenstein algebras, since there D(A) is a tilting module.

is the following true: The finitistic dimension of an algebra is equal to the supremum of projective dimensions of tilting modules? It is true for Gorenstein algebras, since there D(A) is a tilting module.

Source Link
Mare
Mare
  • 26.5k
  • 6
  • 25
  • 104

Finitistic dimension via tilting modules

is the following true: The finitistic dimension of an algebra is equal to the supremum of projective dimensions of tilting modules (or injective dimensions of cotilting modules?)? It is true for Gorenstein algebras, since there D(A) is a tilting module.