General relationship between abstract and linear algebra

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Please explain the general relationship between abstract algebra and linear algebra.

Also, please dscuss how it is possible to considerably shorten the list of properties that define a vector space by using definitions from abstract algebra. This needs toinclude an explicit list of the properties of a vector space that are still needed after applying the concept of abelian group.

Reference no: EM13281666

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General relationship between abstract and linear algebra : Explain the general relationship between abstract algebra and linear algebra and dscuss how it is possible to considerably shorten the list of properties that define a vector space by using definitions from abstract algebra.
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