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Aperiodic semigroup
In
mathematics
, an
aperiodic semigroup
is a
semigroup
S
such that every element
x
∈
S
is aperiodic, that is, for each
x
there exists a
positive integer
n
such that
x
n
=
x
n
+ 1
. An
aperiodic monoid
is an aperiodic semigroup which is a
monoid
.
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