homomorphism

structure-preserving map between two (algebraic, relational or mixed) structures of the same signature

Wikidata entity: Q215111

P2534	defining formula	Math	$\begin{aligned} ϕ (f_{A} (a_{1}, a_{2}, \dots, a_{n})) = f_{B} (ϕ (a_{1}), ϕ (a_{2}), \dots, ϕ (a_{n})) \\ r_{A} (a_{1}, a_{2}, \dots, a_{n}) ⟹ r_{B} (ϕ (a_{1}), ϕ (a_{2}), \dots, ϕ (a_{n})) \end{aligned}$	???
P1343	described by source	...	Q124737633 (Armenian Soviet Encyclopedia, vol. 6)	Armenian Soviet Encyclopedia, vol. 6
P1889	different from	...	Q1948412 (morphism)	morphism
P7235	in defining formula	Math	$r$	???
P7235	in defining formula	Math	$f$	???
P7235	in defining formula	Math	$ϕ$	???
P31	instance of	...	Q24034552 (mathematical concept)	mathematical concept
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P460	said to be the same as	...	Q12766997 (???)	???
P2579	studied by	...	Q467606 (model theory)	model theory
P2579	studied by	...	Q159943 (abstract algebra)	abstract algebra
P2579	studied by	...	Q1636734 (universal algebra)	universal algebra
P279	subclass of	...	Q11348 (function)	function

External Ids

P2581	BabelNet ID	00044596n
P2581	BabelNet ID	00044596n
P6564	Brilliant Wiki ID	homomorphism
P7554	Encyclopedia of Mathematics article ID	Homomorphism
P1417	Encyclopædia Britannica Online ID	topic/homomorphism
P12946	FOLDOC ID	homomorphism
P646	Freebase ID	/m/03jd7
P227	GND ID	4160602-4
P11514	Great Russian Encyclopedia portal ID	gomomorfizm-5390b8
P3827	JSTOR topic ID (archived)	homomorphisms
P6058	Larousse ID	divers/homomorphisme/58605
P8313	Lex ID	homomorfi
P244	Library of Congress authority ID	sh85061771
P2812	MathWorld ID	Homomorphism
P6366	Microsoft Academic ID (discontinued)	4042151
P8189	National Library of Israel J9U ID	987007565420605171
P691	NL CR AUT ID	ph714665
P4215	nLab ID	homomorphism
P1245	OmegaWiki Defined Meaning	956230
P7305	Online PWN Encyclopedia ID	3912540
P10283	OpenAlex ID	C4042151
P6781	ProofWiki ID	Definition:Homomorphism_(Abstract_Algebra)
P1051	PSH ID	7362
P3365	Treccani ID	omomorfismo
P10017	Treccani's Dizionario delle Scienze Fisiche ID	omomorfismo
P9621	Treccani's Enciclopedia della Matematica ID	omomorfismo
P13591	Yale LUX ID	concept/04118cf2-6b40-42d6-a007-a7130b526d42

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