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Defintion
-graded modules
Given a commutative ring , an -graded -module or just graded -module is an -module with a binary function called the grade projection operator such that
Terms of are called multivectors.
For a natural number , the image of under is called the -module and is denoted as .
The terms of are called -vectors.
We define the filtration operator
For a natural number , the image of under is called the filtered -module and is denoted as .