- 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...
- mathematics, a
commutative ring is a ring in
which the
multiplication operation is
commutative. The
study of
commutative rings is
called commutative algebra...
- 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, and
especially in
category theory, a
commutative diagram is a
diagram such that all
directed paths in the
diagram with the same start...
-
commutative is
called a
commutative monoid (or, less commonly, an
abelian monoid).
Commutative monoids are
often written additively. Any
commutative monoid...
-
Commutative algebra,
first known as
ideal theory, is the
branch of
algebra that
studies commutative rings,
their ideals, and
modules over such rings....
-
Whether a ring is
commutative (that is, its
multiplication is a
commutative operation) has
profound implications on its properties.
Commutative algebra, the...
- In mathematics, an ****ociative
algebra A over a
commutative ring (often a field) K is a ring A
together with a ring
homomorphism from K into the center...
- as
algebraic geometry,
unital ****ociative
commutative algebra.
Replacing the
field of
scalars by a
commutative ring
leads to the more
general notion of...
