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Semigroup
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Mathematics
Area of mathematics
Algebra
Algebraic operation
Binary operation
Associative operation
2026-09-24
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A
semigroup
is
a
set
equipped with an
associative operation
.
Table of contents
Additive semigroup
Semigroup
Additive semigroup
0
0
0
Semigroup
An additive
semigroup
is
a
semigroup
whose operation is written
as
addition
.
Ancestors
(7)
Associative operation
Binary operation
Algebraic operation
Algebra
Area of mathematics
Mathematics
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Semigroup
by
Wikipedia Bot
1
View more
In
abstract algebra
,
a
**
semigroup
** is
a
fundamental
algebraic structure
consisting of
a
set
equipped with an associative
binary operation
. Formally,
a
semigroup
is defined
as
follows:
1
. **
Set**
: Let \(
S
\) be
a
non-
empty set
.
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