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Semiring
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Mathematics
Fields of mathematics
Algebra
Abstract algebra
Algebraic structures
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A
**
semiring
** is an
algebraic structure
that is
a
generalization of both
a
ring and
a
monoid
. It consists of
a
set equipped with two
binary operations
that generalize
addition
and
multiplication
.
A
semiring
is defined by the following properties:
1
. **Set**: Let \(
S
\) be
a
non-
empty set
.
Ancestors
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Algebraic structures
Abstract algebra
Algebra
Fields of mathematics
Mathematics
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