- In mathematics, a
binary operation is
commutative if
changing the
order of the
operands does not
change the result. It is a
fundamental property of many...
- In mathematics,
there exist magmas that are
commutative but not ****ociative. A
simple example of such a
magma may be
derived from the children's game...
-
Commutative algebra,
first known as
ideal theory, is the
branch of
algebra that
studies commutative rings,
their ideals, and
modules over such rings....
- mathematics, a
commutative ring is a ring in
which the
multiplication operation is
commutative. The
study of
commutative rings is
called commutative algebra...
- In mathematics, and
especially in
category theory, a
commutative diagram is a
diagram such that all
directed paths in the
diagram with the same start...
- In algebra, a graded-
commutative ring (also
called a skew-
commutative ring) is a
graded ring that is
commutative in the
graded sense; that is, homogeneous...
- In mathematics, an
abelian group, also
called a
commutative group, is a
group in
which the
result of
applying the
group operation to two
group elements...
-
algebra is an ****ociative
algebra in
which the
multiplication is not
commutative, that is, for
which x y {\displaystyle xy} does not
always equal y x...
-
referred to as skew-
commutative ****ociative
algebras to
emphasize the anti-commutation, or, to
emphasize the grading, graded-
commutative or, if the supercommutativity...
- as
algebraic geometry,
unital ****ociative
commutative algebra.
Replacing the
field of
scalars by a
commutative ring
leads to the more
general notion of...
