# idempotent

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## idempotent

(ˈaɪdəmˌpəʊtənt; ˈɪd-)
(Mathematics) maths (of a matrix, transformation, etc) not changed in value following multiplication by itself
[C20: from Latin idem same + potent1]

## i•dem•po•tent

(ˈaɪ dəmˈpoʊt nt, ˈɪd əm-)
1. (of a number or matrix) unchanged when multiplied by itself.
n.
2. an idempotent element.
[1870; idem + potent1]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Adj. 1 idempotent - unchanged in value following multiplication by itself; "this matrix is idempotent"math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementunchanged - not made or become different; "the causes that produced them have remained unchanged"
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References in periodicals archive ?
5 in [Kle15], if J is an ideal in A which is projective as a left A-module, then (SI1) is equivalent J being an idempotent ideal, i.
To say that a language or system is inductively idempotent means that under the operation E of explanation or explanatory regression, the operand or explanandum L is unchanged:
We choose [and] to be idempotent and [lambda] to satisfy ([lambda], [and]) = 1.
Free profinite locally idempotent and locally commutative semigroups.
i] is the primitive idempotent of [GAMMA]/[PI] corresponding to [eta]i.
An idempotent in R is a nonzero element e such that [e.
2] = a + bI implies a + bI is idempotent and if holds for all a + bI [member of] N(S) then N(S) is called idempotent neutrosophic LA-semigroup.
Guterman, "Linear independence over tropical semirings and beyond," in Tropical and Idempotent Mathematics, G.
He covers separability, idempotent and profinite spaces, the Boolean spectrum, Galois theory over a connected base, separable closure and the fundamental groupoid, categorical Galois theory and the Galois correspondence.
T] follows a chi-square distribution if and only if AV is idempotent, in which case xA[x.
The PWA operator is monotonic, commutative, bounded and idempotent.

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