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monoid
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Definition/Summary
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A monoid is a set S with a binary operation S*S -> S that is associative and that has an identity element, thus making it a semigroup with an identity.
A monoid where every element has an inverse is a group. |
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Equations
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Associativity: [itex]\forall a,b,c \in S ,\ (a \cdot b) \cdot c = a \cdot (b \cdot c) [/itex]
Identity e: [itex]\forall a \in S,\ e \cdot a = a \cdot e = a [/itex] |
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Recent forum threads on monoid
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Breakdown
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Mathematics
> Algebra
>> Group Theory
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Commentary
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