Graded commutative algebra
= Graded commutative algebra
A <graded algebra> is a graded commutative algebra if $uv=(-1)^{pq}vu$ for <homogeneous elements of a graded algebra> of degrees $p,q$. In <characteristic> not equal to two, every odd-degree element then squares to zero. The <exterior algebra> and <Hochschild cohomology> with the <Hochschild cup product> are examples.