होमोलॉजिकल इसके अंग्रेजी अर्थ का उदाहरण

Torsion in homological algebra .

Now we look at the cohomological Serre spectral sequence: we suppose we have a generator for the degree 3 cohomology of S^3, called \iota.

Namely, it would imply the Lefschetz standard conjecture (that the inverse of the Lefschetz isomorphism is defined by an algebraic correspondence); that the Künneth components of the diagonal are algebraic; and that numerical equivalence and homological equivalence of algebraic cycles are the same.

Over fields, there is a cohomological classification of Azumaya algebras using Étale cohomology.

which is called the cohomological Brauer group.

For a field extension E/F there is a cohomological Brauer group defined as.

and the cohomological Brauer group for F is defined as.

This is important because it directly relates to the cohomological classification of similarity classes of Azumaya algebras over a scheme.

gives a cohomological classification of such bundles.

Note that this is distinct from the cohomological Brauer group which is defined as H^2_{et}(X,\mathbb{G}_m).

When the group is torsion-free the action is free, showing that the group has finite cohomological dimension.

Holonomic modules can also be characterized by a [algebra|homological] condition: M is holonomic if and only if D(M) is concentrated (seen as an object in the derived category of D-modules) in degree 0.

It is proven by extending the homological study of regular rings (especially what is related to global homological dimension) to the filtered ring DX.

The Atiyah–Bott theorem is an equation in which the LHS must be the outcome of a global topological (homological) calculation, and the RHS a sum of the local contributions at fixed points of f.