superalgebra and (synthetic ) supergeometry
A super-commutative algebra is a commutative algebra internal to the symmetric monoidal category of super vector spaces, hence a $\mathbb{Z}/2$-graded associative algebra such that for $a, b$ any two elements of homogeneous degree $deg(a), deg(b) \in \mathbb{Z}/2 = \{0,1\}$, then
For more see at geometry of physics – superalgebra.
The free supercommutative algebras are the Grassmann algebras.
stable homotopy groups of homotopy commutative ring spectrum, see at Introduction to Stable homotopy theory the section 1-2 Homotopy commutative ring spectra
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