What does monoid mean?
Definitions for monoid
mon·oid
This dictionary definitions page includes all the possible meanings, example usage and translations of the word monoid.
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Wiktionary
monoidnoun
A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.
Wikidata
Monoid
In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element. Monoids are studied in semigroup theory as they are naturally semigroups with identity. Monoids occur in several branches of mathematics; for instance, they can be regarded as categories with a single object. Thus, they capture the idea of function composition within a set. Monoids are also commonly used in computer science, both in its foundational aspects and in practical programming. The transition monoid and syntactic monoid are used in describing finite state machines, whereas trace monoids and history monoids provide a foundation for process calculi and concurrent computing. Some of the more important results in the study of monoids are the Krohn–Rhodes theorem and the star height problem. The history of monoids, as well as a discussion of additional general properties, are found in the article on semigroups.
Chambers 20th Century Dictionary
Monoid
mon′oid, adj. and n. (pros.) containing but one kind of foot.
Anagrams for monoid »
domino
Numerology
Chaldean Numerology
The numerical value of monoid in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of monoid in Pythagorean Numerology is: 7
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"monoid." Definitions.net. STANDS4 LLC, 2024. Web. 9 May 2024. <https://www.definitions.net/definition/monoid>.
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