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monoid

A Dictionary of Computing | 2004 | 313 words | Copyright

monoid A semigroup that possesses an identity element, e. If S is a semigroup on which there is defined a dyadic operation ◦, then x ◦ e = e ◦ x = x

for all elements x in S. Monoids play an important role in various areas of computing, especially in the study of formal languages and parsing.

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