- 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 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,
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 is
called a
commutative monoid (or, less commonly, an
abelian monoid).
Commutative monoids are
often written additively. Any
commutative monoid...
- mathematics, a
commutative ring is a ring in
which the
multiplication operation is
commutative. The
study of
commutative rings is
called commutative algebra...
-
Commutative algebra,
first known as
ideal theory, is the
branch of
algebra that
studies commutative rings,
their ideals, and
modules over such rings....
- 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...
-
algebraic topology, a
commutative ring spectrum,
roughly equivalent to a E ∞ {\displaystyle E_{\infty }} -ring spectrum, is a
commutative monoid in a good...
- In mathematics, the quasi-
commutative property is an
extension or
generalization of the
general commutative property. This
property is used in specific...
-
algebraic structures that
generalize fields:
multiplication need not be
commutative and
multiplicative inverses need not exist. Informally, a ring is a set...