Homological algebra | Algebras

Filtered algebra

In mathematics, a filtered algebra is a generalization of the notion of a graded algebra. Examples appear in many branches of mathematics, especially in homological algebra and representation theory. A filtered algebra over the field is an algebra over that has an increasing sequence of subspaces of such that and that is compatible with the multiplication in the following sense: (Wikipedia).

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From playlist Elementary Linear Algebra

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Related pages

Differential operator | Clifford algebra | Length function | Linear subspace | Unital algebra | Vector space | Homological algebra | Isomorphism | Group (mathematics) | Filtration (mathematics) | Polynomial | Mathematical proof | Algebra over a field | Polarization identity | Cotangent bundle | Representation theory | Group ring | Mathematics | Field (mathematics) | Lie algebra | Mathematical induction | Exterior algebra | Manifold | Affine space | Universal enveloping algebra | Symmetric algebra