identity element

special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them

Wikidata entity: Q185813

P2534	defining formula	Math	$\forall a \in A : e * a = a, a * e = a$	???
P973	described at URL	Url	7.5: Properties of Identity, Inverses, and Zero - Mathematics LibreTexts	???
P973	described at URL	Url	Elemento neutro di un gruppo - Andrea Minini	???
P973	described at URL	Url	None	???
P973	described at URL	Url	Identity element – Knowledge and References – Taylor & Francis	???
P1889	different from	...	Q68019776 (multiplicative identity)	multiplicative identity
P1889	different from	...	Q2767837 (additive identity)	additive identity
P7235	in defining formula	Math	$a$	???
P7235	in defining formula	Math	$A$	???
P7235	in defining formula	Math	$e$	???
P7235	in defining formula	Math	$*$	???
P1687	main Wikidata property	...	P8864 (identity element)	identity element
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P461	opposite of	...	Q187420 (absorbing element)	absorbing element
P279	subclass of	...	Q379825 (element)	element

External Ids

P6564	Brilliant Wiki ID	identity-element
P7554	Encyclopedia of Mathematics article ID	Identity_element
P1417	Encyclopædia Britannica Online ID	science/identity-element
P646	Freebase ID	/m/03vx9
P8313	Lex ID	neutralt_element
P12987	LMFDB knowl ID	alg.binary_operation.identity
P2812	MathWorld ID	IdentityElement
P11130	Merriam-Webster online dictionary entry	identity%20element
P12888	Metamath statement ID	df-0g
P6366	Microsoft Academic ID (discontinued)	68853498
P3222	NE.se ID	identitetselement
P4215	nLab ID	identity element
P7305	Online PWN Encyclopedia ID	3946919
P12582	Oxford Reference overview ID	20110803100230434
P7726	PlanetMath ID	IdentityElement
P3365	Treccani ID	elemento-neutro
P9621	Treccani's Enciclopedia della Matematica ID	elemento-neutro

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