- 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...
-
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...
- mathematics, a
commutative ring is a ring in
which the
multiplication operation is
commutative. The
study of
commutative rings is
called commutative algebra...
-
commutative is
called a
commutative monoid (or, less commonly, an
abelian monoid).
Commutative monoids are
often written additively. Any
commutative monoid...
- 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...
-
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...
- 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...
- mathematics, a
noncommutative ring is a ring
whose multiplication is not
commutative; that is,
there exist a and b in the ring such that ab and ba are different...
