Definition of Anticommutative. Meaning of Anticommutative. Synonyms of Anticommutative

- In mathematics, anticommutativity is a specific property of some non-commutative mathematical operations. Swapping the position of two arguments of an...
- (−1)deg(x)deg(y)yx for all nonzero homogeneous elements x and y (i.e. it is an anticommutative algebra) and has the further property that x2 = 0 (nilpotence) for...
- degree one component) always contains nilpotent elements. A Z-graded anticommutative algebra with the property that x2 = 0 for every element x of odd grade...
- Commutative and anticommutative together imply nilpotent of index 2. Anticommutative implies nil of index 2. Unital and anticommutative are incompatible...
- (even) or 1 (odd). Some graded rings (or algebras) are endowed with an anticommutative structure. This notion requires a homomorphism of the monoid of the...
- second one. Subtraction follows several important patterns. It is anticommutative, meaning that changing the order changes the sign of the answer. It...
- zero length, then their cross product is zero. The cross product is anticommutative (that is, a × b = − b × a) and is distributive over addition, that...
- {\displaystyle \mathbb {Z} } or N {\displaystyle \mathbb {N} } ) that is anticommutative and has a graded Jacobi identity also has a Z / 2 Z {\displaystyle...
- product a → × b → {\displaystyle {\vec {a}}\times {\vec {b}}} No No (anticommutative) quaternions R 4 {\displaystyle \mathbb {R} ^{4}} Hamilton product...
- Look up commutative property in Wiktionary, the free dictionary. Anticommutative property Centralizer and normalizer (also called a commutant) Commutative...