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Inverse semigroup

💡 Words with a Similar Meaning to "Inverse semigroup"

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

WordDefinition
semimodulenoun(mathematics) A mathematical construct that resembles a module, except that the underlying abelian group is replaced with an abelian semigroup, so the elements do not necessarily have inverses.
groupnounA number of things or persons being in some relation to one another.
inversionnounThe action of inverting.
hypersemigroupnoun(mathematics) A nonempty set for which the set of all subsets forms a semiring.
subsemigroupnoun(mathematics) Any subset of a semigroup that is closed under the semigroup operation.
semiringnoun(algebra) An algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse.
ringnoun(physical) A solid object in the shape of a circle.
inverse systemnoun(algebra) A set of algebraic structures (which are part of a concrete category; e.g., groups) and a set of morphisms between them (e.g., group homomorphisms) which all together form a small category which is the image of a contravariant functor whose domain is a directed poset.
semigroupnoun(mathematics) Any set for which there is a binary operation that is closed and associative.
semigroup homomorphismnoun(mathematics) a function that preserves semigroup structure
division algebranoun(algebra) An algebra over a field such that every non-zero element of it has a multiplicative inverse. (It is not required to have a unity element.)
idealnounA perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
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.
inversenounAn inverted state: a state in which something has been turned (properly) upside down or (loosely) inside out or backwards.
semigroupoidnoun(mathematics) A form of partial algebra in category theory.
division ringnoun(algebra) A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = 1.
right inversenoun(category theory) For a given morphism f : X → Y, its right inverse (if it has one) is a morphism s : Y → X such that f∘s= mbox id_Y.
additive inversenoun(mathematics) The inverse with respect to addition; the opposite.
linear algebraic groupnoun(algebraic geometry, category theory) An algebraic group that is isomorphic to a subgroup of some general linear group.
inner automorphismnoun(algebra) An automorphism which is a conjugation (by a fixed element).

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