In algebra, a graded-commutative ring (also called a skew-commutative ring) is a graded ring that is commutative in the graded sense; that is, homogeneous elements x, y satisfy x y = ( − 1 ) | x | | y | y x , {\displaystyle xy=(-1)^{|x||y|}yx,} where |x| and |y| denote the degrees of x and y. A commutative (non-graded) ring, with trivial grading, is a basic example.
In algebra, a graded-commutative ring (also called a skew-commutative ring) is a graded ring that is commutative in the graded sense; that is, homogeneous elements x, y satisfy x y = ( − 1 ) | x | | y | y x , {\displaystyle xy=(-1)^{|x||y|}yx,} where |x| and |y| denote the degrees of x and y. A commutative (non-graded) ring, with trivial grading, is a basic example.
Source: Wikipedia "Graded-commutative ring" · CC BY-SA 4.0
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