Definition of Supercommutative. Meaning of Supercommutative. Synonyms of Supercommutative

- In mathematics, a supercommutative (****ociative) algebra is a superalgebra (i.e. a Z2-graded algebra) such that for any two homogeneous elements x, y we...
- y]z+(-1)^{|x||y|}y[x,z].\,} A supercommutative Poisson algebra is one for which the (****ociative) product is supercommutative. This is one possible way of...
- ****umed to be ****ociative and unital. A commutative superalgebra (or supercommutative algebra) is one which satisfies a graded version of commutativity....
- ring, x2 ≥ 0 for any x. Moreover, x2 = 0 if and only if x = 0. In a supercommutative algebra where 2 is invertible, the square of any odd element equals...
- \mathbb {Z} \to \mathbb {Z} /2\mathbb {Z} } is the quotient map. A supercommutative algebra (sometimes called a skew-commutative ****ociative ring) is the...
- Shuffle algebra Sigma-algebra Simple algebra Structurable algebra Supercommutative algebra Symmetric algebra Tensor algebra Universal enveloping algebra...
- Poisson supermanifold is a differential supermanifold M such that the supercommutative algebra of smooth functions over it (to clarify this: M is not a point...
- algebra; thus Gr****mann algebras are the prototypical examples of supercommutative algebras. Note that the c-numbers form a subalgebra of Λ {\displaystyle...
- generalize super vector spaces over a field to supermodules over a supercommutative algebra (or ring). A common construction when working with super vector...
- makes the singular cohomology of a connected manifold into a unitary supercommutative ring. Singular homology Differential graded algebra: the algebraic...