- In mathematics,
anticommutativity is a
specific property of some non-commutative
mathematical operations.
Swapping the
position of two
arguments of an...
-
Commutative and
anticommutative together imply nilpotent of
index 2.
Anticommutative implies nil of
index 2.
Unital and
anticommutative are incompatible...
- (−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 for
every homogeneous...
-
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...
- (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...
- {\displaystyle \mathbb {Z} } or N {\displaystyle \mathbb {N} } ) that is
anticommutative and has a
graded Jacobi identity also has a Z / 2 Z {\displaystyle...
- Look up
commutative property in Wiktionary, the free dictionary.
Anticommutative property Centralizer and
normalizer (also
called a commutant) Commutative...
-
product a → × b → {\displaystyle {\vec {a}}\times {\vec {b}}} No No (
anticommutative)
quaternions R 4 {\displaystyle \mathbb {R} ^{4}}
Hamilton product...
-
certain properties, for
example it may be ****ociative, commutative,
anticommutative, idempotent, and so on. The
values combined are
called operands, arguments...
- 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...
