Graded vector space

Homomorphism of graded vector spaces

Let be a linear map of -graded vector spaces over .

• is graded or grade-preserving iff for all . linalg
  See Strict category of graded vector spaces.
• If is a monoid, then is homogenous of degree iff and we write . linalg
  See Closed category of graded vector spaces

See Degree operator properties.

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