idempotencen.
/ˌɪdɛmˈpəʊtns/, /ˌʌɪdɛmˈpəʊtns/, /ʌɪˈdɛmpət(ə)ns/, U.S. /ˌaɪdɛmˈpoʊtns/, /ˌidɛmˈpoʊtns/, /aɪˈdɛmpəd(ə)ns/, /aɪˈdɛmpətns/ Mathematics, Logic, and Computing.
The property of being idempotent; = idempotency n.
ΘΚΠ
the world > relative properties > number > algebra > [noun] > algebraic property
associativeness1878
symmetry1888
associativity1926
idempotence1934
distributivity1940
idempotency1940
1934 Amer. Math. Monthly Mar. 130 Postulates are adopted according to which alternation has..the properties of commutativity, associativity, idempotence, non-invertibility et al.
1959 K. R. Popper Logic of Sci. Discov. 351 p(aa, b) = p(a, b)... This is the law of idempotence, sometimes also called the ‘law of tautology’.
1960 P. Suppes Axiomatic Set Theory ii. 27 The next three theorems assert the commutativity, associativity, and idempotence of union.
2002 Proc. National Acad. Sci. U.S.A. 99 5212/1 The assumption that the operation has an identity was dropped and replaced by the assumption of idempotence.
This entry has been updated (OED Third Edition, November 2010; most recently modified version published online March 2022).
<
n.1934