: Mathématiques: graded vector space

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graded vector space

In mathematics, a graded vector space is a vector space that has the extra structure of a grading or gradation, which is a decomposition of the vector space into a direct sum of vector subspaces, generally indexed by the integers. For "pure" vector spaces, the concept has been introduced in homological algebra, and it is widely used for graded algebras, which are graded vector spaces with additional structures.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Graded_vector_space)

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