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Semigroup

💡 Words with a Similar Meaning to "Semigroup"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
commutative(mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.
semigroupoidnoun(mathematics) A form of partial algebra in category theory.
monoidnoun(algebra, functional programming) A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.
subsemigroupnoun(mathematics) Any subset of a semigroup that is closed under the semigroup operation.
hypersemigroupnoun(mathematics) A nonempty set for which the set of all subsets forms a semiring.
groupoidnoun(algebra and category theory) A set with a partial binary operation that is associative and has identities and inverses.
semigroup homomorphismnoun(mathematics) a function that preserves semigroup structure
groupnounA number of things or persons being in some relation to one another.
setoidnoun(set theory) A set together with an equivalence relation.
semiautomatonnoun(mathematics, computer science) a multiplicative operation of a monoid on a set
semiloopoidnoun(mathematics) A nonassociative generalization of a semigroupoid
abelian groupnoun(algebra) A group in which the group operation is commutative.
ringnoun(physical) A solid object in the shape of a circle.
semialgebranoun(mathematics) A class that is closed under intersection and semiclosed under set difference
symmetric groupnoun(mathematics) A group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections.
set operationnoun(set theory) A mathematical operation that returns a set taking one or more sets as input.
commutantnoun(algebra, logic) The subset of all elements of a semigroup that commute with the elements of a given subset
inverse semigroupnoun(algebra, group theory) A semigroup in which every element x has an inverse y, such that x = xyx and y = yxy.
cosetnoun(algebra, group theory) The set that results from applying a group's binary operation with a given fixed element of the group on each element of a given subgroup.
sumsetnoun(mathematics) The set of all sums of an element from A with an element from B, where A and B are subsets of an abelian group.

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