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Commutator
Meaning
Noun
●
An
electric
al
switch
, in a
generator
or
motor
, that
periodically
reverses
the
direction
of an
electric
current.
●
In Group theory:
A
binary
map
in a
g
iven
g
roup G,
g
iven by [g,
h
] =
g
hg⁻¹h⁻¹, where
g
and
h
are
elements
of G, which
yields
the
g
roup's
identity
if and only if
the
g
roup
operation
commutes
for
g
and
h
.
●
A
b
inary
map
in a given
r
ing R, given
b
y [a,
b
] =
ab
−
ba
, where a and
b
are
element
s of R, which
yields
the
r
ing's
zero
element
if and only if
the
multiplication
operation
commutes
for a and
b
.
Sourced from
Wiktionary
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