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semigroups

noun

plural of semigroup

Semigroups are algebraic structures that consist of a set and an associative binary operation.

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semigroup

noun

(mathematics) Any set for which there is a binary operation that is closed and associative.

A semigroup is a mathematical structure consisting of a set and an associative binary operation.

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inverse semigroups

noun

plural of inverse semigroup

Inverse semigroups are algebraic structures that generalize the concept of groups.

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inverse semigroup

noun

(algebra, group theory) A semigroup in which every element x has an inverse y, such that x = xyx and y = yxy.

An inverse semigroup is a mathematical structure that generalizes the concept of a group.

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semigroup homomorphism

noun

(mathematics) a function that preserves semigroup structure

A semigroup homomorphism is a function between two semigroups that preserves the semigroup operation.

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semigroup homomorphisms

noun

plural of semigroup homomorphism

Semigroup homomorphisms are important in abstract algebra.

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