- 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....
- 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, and
especially in
category theory, a
commutative diagram is a
diagram such that all
directed paths in the
diagram with the same start...
- 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...
-
algebraic structures that
generalize fields:
multiplication need not be
commutative and
multiplicative inverses need not exist. Informally, a ring is a set...
- are
delivered in
causal order. Operation-based
CRDTs are also
called commutative replicated data types, or CmRDTs.
CmRDT replicas propagate state by transmitting...
- 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...