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...
- element a {\displaystyle a} . A supercommutative Poisson algebra is one for which the (****ociative) product is supercommutative. This is one of two possible...
- 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...
- Alternating multilinear map Exterior algebra Graded-symmetric algebra Supercommutative algebra Nicolas Bourbaki (1998). Algebra I. Springer Science+Business...
- ****umed to be ****ociative and unital. A commutative superalgebra (or supercommutative algebra) is one which satisfies a graded version of commutativity....
- If, in addition, the ****ociative product is made supercommutative, one obtains a supercommutative Poisson superalgebra. The Whitehead product on homotopy...
- generalize super vector spaces over a field to supermodules over a supercommutative algebra (or ring). A common construction when working with super vector...
- discovered by Murray Gerstenhaber (1963) that combines the structures of a supercommutative ring and a graded Lie superalgebra. It is used in the Batalin–Vilkovisky...
- the observation that a supermanifold is determined by its ring of supercommutative smooth functions, and that a morphism of supermanifolds corresponds...
- \mathbb {Z} \to \mathbb {Z} /2\mathbb {Z} } is the quotient map. A supercommutative algebra (sometimes called a skew-commutative ****ociative ring) is the...