idempotent

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idempotent

(ˈaɪdəmˌpəʊtənt; ˈɪd-)
adj
(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-)
Math. adj.
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 arrangement
unchanged - not made or become different; "the causes that produced them have remained unchanged"
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References in periodicals archive ?
Foulkes characters, Eulerian idempotents, and an amazing matrix, J.
The partial order [less than or equal to] is said to be a left(right) amenable partial order if it coincides with [less than or equal to] on idempotents and for each a, b [member of] S, a [less than or equal to] b implies [a.
This implies that the number of the absorbed exponents of vectors in V is no greater than the number of idempotents of [[tau].
Equivalently a regular semigroup in which idempotents commute.
One can think of a quiver as a combinatorial encoding of a special presentation of the algebra by generators and relations: the quiver is a directed graph whose vertices correspond to primitive orthogonal idempotents and whose arrows correspond to a minimal generating set of the radical.
Orel, Nonbijective idempotents preservers over semirings, J.
Individual article topics include some solvable automaton groups, the homology of tree braid groups, currents on free groups, groups with periodic products of commutators, the Neilsen fixed point structure for homotropy idempotents on surfaces and groups with non-simply connected asymptotic cones.
Since H is a simple ring then one of the following holds: either H does not contain any non-trivial idempotent element or H is generated by its idempotents.
Flows on rooted trees and the Menous-Novelli-Thibon idempotents.