- 3"); such
operations are not commutative, and so are
referred to as
noncommutative operations. The idea that
simple operations, such as the multiplication...
-
Noncommutative geometry (NCG) is a
branch of
mathematics concerned with a
geometric approach to
noncommutative algebras, and with the
construction of spaces...
- In 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...
-
Noncommutative logic is an
extension of
linear logic that
combines the
commutative connectives of
linear logic with the
noncommutative multiplicative connectives...
- C*-algebras.
Noncommutative topology is
related to
analytic noncommutative geometry. The
premise behind noncommutative topology is that a
noncommutative C*-algebra...
-
mathematical physics,
noncommutative quantum field theory (or
quantum field theory on
noncommutative spacetime) is an
application of
noncommutative mathematics...
-
polynomial identities.
Commutative rings are much
better understood than
noncommutative ones.
Algebraic geometry and
algebraic number theory,
which provide...
- the
philosophy of
noncommutative geometry,
which tries to
study various non-classical and/or
pathological objects by
noncommutative operator algebras...
- one hand, and
noncommutative geometry on the
other hand. It
quickly led to the
discovery of
other important links between noncommutative geometry and various...
-
moreover the
ideal must be prime. This can be
further generalized to
noncommutative rings (see below). In the case {S} = {1}, we have Krull's theorem, and...
