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Idempotent

/aɪ.dəmˈpoʊ.tənt/

An idempotent element.

Full Dictionary Entry

📖 Definitions of "Idempotent"

noun

1
An idempotent element.
2
An idempotent structure.

adjective

1
Said of a function: describing an action which, when performed multiple times on the same subject, has no further effect on its subject after the first time it is performed.
2
Said of an element of an algebraic structure with a binary operation (such as a group or semigroup): when the element operates on itself, the result is equal to itself.
"Every group has a unique idempotent element: namely, its identity element."
3
Said of a binary operation: that all of the distinct elements it can operate on are idempotent (in the sense given just above).
"Since the AND logical operator is commutative, associative, and idempotent, then it distributes with respect to itself."
4
Said of an algebraic structure: having an idempotent operation (in the sense above).

💡 Words with a Similar Meaning to "Idempotent"

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

Word	Definition
semiringnoun	(algebra) An algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse.
idempotented	(mathematics) Having idempotents
unipotentnoun	(biology) Having the capacity to develop into only one type of cell or tissue.
invariantnoun	An invariant quantity, function etc.
nonrepeating	That does not repeat.
antiinvariant	(mathematics) Having the property that when subjected to a specified operation the result is the same as multiplying by the determinant.
equivariantnoun	(mathematics, of a function) Not affected by a specified group action.
antidominant	Opposed to the dominant version.
deterministic	(computing, of an algorithm) For a given particular input, always producing the same output through the same sequence of states.
indivisible	Incapable of being divided; atomic.
recurring	Happening or occurring frequently, with repetition.
null persistent	(mathematics, stochastic processes, of a state) persistent with infinite expected return time.
monotonic	(mathematics) Of a function: that either never decreases or never increases as its independent variable increases.
nonvanishing	(mathematics) Of an expression, especially a function, being nonzero at a value, everywhere on a specified set, or on the entire domain.
one-to-onenoun	Matching each member of one set with exactly one member of another set.
functional	Useful; serving a purpose, fulfilling a function.
primitive recursive	(mathematics) Of a function, capable of being constructed from the zero function, successor function, and projection functions, by a finite number of applications of composition and recursion.
totalnoun	An amount obtained by the addition of smaller amounts.
one-to-many	From a single source to multiple recipients.
anallagmatic	(mathematics) Not changed in form by inversion.