Homological dimension

Updated on Oct 12, 2024

Edit

Comment

Homological dimension may refer to the global dimension of a ring. It may also refer to any other concept of dimension that is defined in terms of homological algebra, which includes:

Projective dimension of a module, based on projective resolutions

Injective dimension of a module, based on injective resolutions

Weak dimension of a module, or flat dimension, based on flat resolutions

Weak global dimension of a ring, based on the weak dimension of its modules

Cohomological dimension of a group

References

Homological dimension Wikipedia

(Text) CC BY-SA