Graded vector space

id: graded-vector-space-199-1542365
title: Graded vector space
text: 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.
brand slug: wiki
category slug: encyclopedia
description: Algebraic structure decomposed into a direct sum
original url: https://en.wikipedia.org/wiki/Graded_vector_space
date created:
date modified: 2023-08-09T14:41:06Z
main entity: {"identifier":"Q3058206","url":"https://www.wikidata.org/entity/Q3058206"}
image:
fields total: 13
integrity: 14

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