Operations On Graded Vector Spaces
Some operations on vector spaces can be defined for graded vector spaces as well.
Given two I-graded vector spaces V and W, their direct sum has underlying vector space V ⊕ W with gradation
- (V ⊕ W)i = Vi ⊕ Wi .
If I is a semigroup, then the tensor product of two I-graded vector spaces V and W is another I-graded vector space, with gradation
Read more about this topic: Graded Vector Space
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