homomorphism (Q1417): Difference between revisions

@@ Property / PSH ID @@
@@ Property / PSH ID: 7362 / rank @@
+Normal rank
@@ Property / described by source @@
+Armenian Soviet Encyclopedia, vol. 6
@@ Property / described by source: Armenian Soviet Encyclopedia, vol. 6 / rank @@
+Normal rank
+page(s): 540
@@ Property / MathWorld ID @@
+Homomorphism
@@ Property / MathWorld ID: Homomorphism / rank @@
+Normal rank
@@ Property / MathWorld ID: Homomorphism / reference @@
+imported from Wikimedia project: Czech Wikipedia
@@ Property / defining formula @@
+ ${\begin{aligned}\phi (f_{A}(a_{1},a_{2},\dots ,a_{n}))=f_{B}(\phi (a_{1}),\phi (a_{2}),\dots ,\phi (a_{n}))\\r_{A}(a_{1},a_{2},\dots ,a_{n})\implies r_{B}(\phi (a_{1}),\phi (a_{2}),\dots ,\phi (a_{n}))\end{aligned}}$ 
\begin{aligned}\phi(f_A(a_1,a_2,\dots,a_n))=f_B(\phi(a_1),\phi(a_2),\dots,\phi(a_n))\\r_A(a_1,a_2,\dots,a_n)\implies r_B(\phi(a_1),\phi(a_2),\dots,\phi(a_n))\end{aligned}
+Normal rank
+imported from Wikimedia project: Korean Wikipedia
@@ Property / JSTOR topic ID @@
+homomorphisms
@@ Property / JSTOR topic ID: homomorphisms / rank @@
+Normal rank
@@ Property / GND ID @@
+4160602-4
@@ Property / GND ID: 4160602-4 / rank @@
+Normal rank
@@ Property / GND ID: 4160602-4 / reference @@
+imported from Wikimedia project: German Wikipedia
@@ Property / Encyclopædia Britannica Online ID @@
+topic/homomorphism
@@ Property / Encyclopædia Britannica Online ID: topic/homomorphism / rank @@
+Normal rank
@@ Property / Encyclopædia Britannica Online ID: topic/homomorphism / qualifier @@
+subject named as: homomorphism
@@ Property / BabelNet ID @@
+00044596n
@@ Property / BabelNet ID: 00044596n / rank @@
+Normal rank
@@ Property / BabelNet ID: 00044596n / reference @@
+stated in: BabelNet
@@ Property / Great Russian Encyclopedia Online ID (old version) @@
+2369083
@@ Property / Great Russian Encyclopedia Online ID (old version): 2369083 / rank @@
+Deprecated rank
+subject named as: ГОМОМОРФИЗМ
+reason for deprecated rank: redirected to GRE portal
@@ Property / different from @@
+morphism
@@ Property / different from: morphism / rank @@
+Normal rank
@@ Property / OmegaWiki Defined Meaning @@
@@ Property / OmegaWiki Defined Meaning: 956230 / rank @@
+Normal rank
@@ Property / Microsoft Academic ID @@
+4042151
@@ Property / Microsoft Academic ID: 4042151 / rank @@
+Normal rank
@@ Property / Brilliant Wiki ID @@
+homomorphism
@@ Property / Brilliant Wiki ID: homomorphism / rank @@
+Normal rank
@@ Property / nLab ID @@
+homomorphism
@@ Property / nLab ID: homomorphism / rank @@
+Normal rank
@@ Property / Freebase ID @@
+/m/03jd7
@@ Property / Freebase ID: /m/03jd7 / rank @@
+Normal rank
@@ Property / Library of Congress authority ID @@
+sh85061771
@@ Property / Library of Congress authority ID: sh85061771 / rank @@
+Normal rank
@@ Property / Library of Congress authority ID: sh85061771 / qualifier @@
+subject named as: Homomorphisms (Mathematics)
@@ Property / Library of Congress authority ID: sh85061771 / reference @@
+stated in: Integrated Authority File
@@ Property / Online PWN Encyclopedia ID @@
+3912540
@@ Property / Online PWN Encyclopedia ID: 3912540 / rank @@
+Normal rank
@@ Property / National Library of Israel J9U ID @@
+987007565420605171
@@ Property / National Library of Israel J9U ID: 987007565420605171 / rank @@
+Normal rank
@@ Property / National Library of Israel J9U ID: 987007565420605171 / reference @@
+stated in: National Library of Israel
@@ Property / OpenAlex ID @@
+C4042151
@@ Property / OpenAlex ID: C4042151 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C4042151 / reference @@
+stated in: OpenAlex
retrieved: 26 January 2022Timestamp +2022-01-26T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
-Timestamp
++2022-01-26T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / Den Store Danske ID @@
+homomorfi
@@ Property / Den Store Danske ID: homomorfi / rank @@
+Normal rank
@@ Property / NL CR AUT ID @@
+ph714665
@@ Property / NL CR AUT ID: ph714665 / rank @@
+Normal rank
@@ Property / NL CR AUT ID: ph714665 / qualifier @@
+subject named as: homomorfismy
@@ Property / Treccani's Dizionario delle Scienze Fisiche ID @@
+omomorfismo
@@ Property / Treccani's Dizionario delle Scienze Fisiche ID: omomorfismo / rank @@
+Normal rank
+subject named as: omomorfismo
+publication date: 1996Timestamp +1996-01-01T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 year
Before 0
After 0
-Timestamp
++1996-01-01T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+year
 Before
 After
@@ Property / Treccani ID @@
+omomorfismo
@@ Property / Treccani ID: omomorfismo / rank @@
+Normal rank
@@ Property / Treccani ID: omomorfismo / qualifier @@
+subject named as: omomorfismo
@@ Property / Treccani's Enciclopedia della Matematica ID @@
+omomorfismo
@@ Property / Treccani's Enciclopedia della Matematica ID: omomorfismo / rank @@
+Normal rank
@@ Property / Treccani's Enciclopedia della Matematica ID: omomorfismo / qualifier @@
+subject named as: omomorfismo
@@ Property / Treccani's Enciclopedia della Matematica ID: omomorfismo / qualifier @@
+publication date: 2013Timestamp +2013-01-01T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 year
Before 0
After 0
-Timestamp
++2013-01-01T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+year
 Before
 After
@@ Property / Great Russian Encyclopedia portal ID @@
+gomomorfizm-5390b8
@@ Property / Great Russian Encyclopedia portal ID: gomomorfizm-5390b8 / rank @@
+Normal rank
@@ Property / studied in @@
+abstract algebra
@@ Property / studied in: abstract algebra / rank @@
+Normal rank
@@ Property / studied in @@
+model theory
@@ Property / studied in: model theory / rank @@
+Normal rank
@@ Property / studied in @@
+universal algebra
@@ Property / studied in: universal algebra / rank @@
+Normal rank
@@ Property / subclass of @@
+function
@@ Property / subclass of: function / rank @@
+Normal rank
@@ Property / in defining formula @@
+ $\phi$ 
\phi
@@ Property / in defining formula: $\phi$ / rank @@
+Normal rank
@@ Property / in defining formula: $\phi$ / qualifier @@
+symbol represents: homomorphism
@@ Property / in defining formula @@
+ $f$ 
f
@@ Property / in defining formula: $f$ / rank @@
+Normal rank
@@ Property / in defining formula: $f$ / qualifier @@
+symbol represents: operation
@@ Property / in defining formula @@
+ $r$ 
r
@@ Property / in defining formula: $r$ / rank @@
+Normal rank
@@ Property / in defining formula: $r$ / qualifier @@
+symbol represents: relation
@@ Property / ProofWiki ID @@
+Definition:Homomorphism_(Abstract_Algebra)
@@ Property / ProofWiki ID: Definition:Homomorphism_(Abstract_Algebra) / rank @@
+Normal rank
@@ Property / Larousse ID @@
+divers/homomorphisme/58605
@@ Property / Larousse ID: divers/homomorphisme/58605 / rank @@
+Normal rank
@@ Property / Encyclopedia of Mathematics article ID @@
+Homomorphism
@@ Property / Encyclopedia of Mathematics article ID: Homomorphism / rank @@
+Normal rank
@@ Property / Encyclopedia of Mathematics article ID: Homomorphism / qualifier @@
+subject named as: Homomorphism

Latest revision as of 16:03, 29 July 2024

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

homomorphic
structure-preserving map

Language	Label	Description	Also known as
English	homomorphism	structure-preserving map between two (algebraic, relational or mixed) structures of the same signature	homomorphic structure-preserving map