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Meaning of "homomorphism" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF HOMOMORPHISM

homomorphism  [ˌhəʊməʊˈmɔːfɪzəm] play
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GRAMMATICAL CATEGORY OF HOMOMORPHISM

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Homomorphism is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES HOMOMORPHISM MEAN IN ENGLISH?

Homomorphism

In abstract algebra, a homomorphism is a structure-preserving map between two algebraic structures. The word homomorphism comes from the ancient Greek language: ὁμός meaning "same" and μορφή meaning "shape". Isomorphisms, automorphisms, and endomorphisms are special types of homomorphisms.

Definition of homomorphism in the English dictionary

The definition of homomorphism in the dictionary is similarity in form.

WORDS THAT RHYME WITH HOMOMORPHISM


amorphism
əˈmɔːfɪzəm
anthropomorphism
ˌænθrəpəˈmɔːfɪzəm
automorphism
ˌɔːtəʊˈmɔːfɪzəm
dimorphism
daɪˈmɔːfɪzəm
dwarfism
ˈdwɔːfɪzəm
hemimorphism
ˌhɛmɪˈmɔːfɪzəm
heteromorphism
ˌhɛtərəʊˈmɔːfɪzəm
homeomorphism
ˌhəʊmɪəˈmɔːfɪzəm
homoeomorphism
ˌhəʊmɪəˈmɔːfɪzəm
hylomorphism
ˌhaɪləˈmɔːfɪzəm
isodimorphism
ˌaɪsəʊdaɪˈmɔːfɪzəm
isomorphism
ˌaɪsəʊˈmɔːfɪzəm
mechanomorphism
ˌmekənəʊˈmɔːfɪzəm
metamorphism
ˌmɛtəˈmɔːfɪzəm
monomorphism
mɒnəʊˈmɔːfɪzəm
Orphism
ˈɔːfɪzəm
perimorphism
ˌpɛrɪˈmɔːfɪzəm
polymorphism
ˌpɒlɪˈmɔːfɪzəm
skeuomorphism
ˌskjuːəˈmɔːfɪzəm
zoomorphism
ˌzəʊəˈmɔːfɪzəm

WORDS THAT BEGIN LIKE HOMOMORPHISM

homolographic
homologue
homologumena
homology
homolosine projection
homolysis
homolytic
homolytic fission
homomorph
homomorphic
homomorphosis
homomorphous
homomorphy
homonuclear
homonym
homonymic
homonymity
homonymous
homonymously
homonymy

WORDS THAT END LIKE HOMOMORPHISM

allomorphism
anamorphism
Buddhism
catastrophism
diastrophism
enantiomorphism
endomorphism
Guelphism
gynandromorphism
idiomorphism
paramorphism
pleomorphism
psephism
pseudomorphism
rheomorphism
sapphism
sexual dimorphism
sophism
theriomorphism
trimorphism
zygomorphism

Synonyms and antonyms of homomorphism in the English dictionary of synonyms

SYNONYMS

Translation of «homomorphism» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF HOMOMORPHISM

Find out the translation of homomorphism to 25 languages with our English multilingual translator.
The translations of homomorphism from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «homomorphism» in English.

Translator English - Chinese

同态
1,325 millions of speakers

Translator English - Spanish

homomorfismo
570 millions of speakers

English

homomorphism
510 millions of speakers

Translator English - Hindi

समरूपता
380 millions of speakers
ar

Translator English - Arabic

homomorphism
280 millions of speakers

Translator English - Russian

гомоморфизм
278 millions of speakers

Translator English - Portuguese

homomorphism
270 millions of speakers

Translator English - Bengali

homomorphism
260 millions of speakers

Translator English - French

homomorphisme
220 millions of speakers

Translator English - Malay

Homomorfisme
190 millions of speakers

Translator English - German

Homomorphismus
180 millions of speakers

Translator English - Japanese

準同型
130 millions of speakers

Translator English - Korean

이체 동형
85 millions of speakers

Translator English - Javanese

Homomorphism
85 millions of speakers
vi

Translator English - Vietnamese

đồng cấu
80 millions of speakers

Translator English - Tamil

புனல்சார்பு
75 millions of speakers

Translator English - Marathi

होमोमोर्फफीझ
75 millions of speakers

Translator English - Turkish

homomorfizmi
70 millions of speakers

Translator English - Italian

omomorfismo
65 millions of speakers

Translator English - Polish

homomorfizm
50 millions of speakers

Translator English - Ukrainian

гомоморфизм
40 millions of speakers

Translator English - Romanian

morfism
30 millions of speakers
el

Translator English - Greek

homomorphism
15 millions of speakers
af

Translator English - Afrikaans

homomorphism
14 millions of speakers
sv

Translator English - Swedish

homomorfism
10 millions of speakers
no

Translator English - Norwegian

homomorfi
5 millions of speakers

Trends of use of homomorphism

TRENDS

TENDENCIES OF USE OF THE TERM «HOMOMORPHISM»

The term «homomorphism» is quite widely used and occupies the 54.942 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Quite widely used
75
/100
The map shown above gives the frequency of use of the term «homomorphism» in the different countries.
Principal search tendencies and common uses of homomorphism
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «homomorphism».

FREQUENCY OF USE OF THE TERM «HOMOMORPHISM» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «homomorphism» during the past 500 years. Its implementation is based on analysing how often the term «homomorphism» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about homomorphism

EXAMPLES

10 ENGLISH BOOKS RELATING TO «HOMOMORPHISM»

Discover the use of homomorphism in the following bibliographical selection. Books relating to homomorphism and brief extracts from same to provide context of its use in English literature.
1
Foundations of Discrete Mathematics
The constant function from G to H which sends every element of G to the identity element of H is a homomorphism. It is called the trivial homomorphism. If H is an abelian group denoted additively, this homomorphism is also called the zero ...
K. D. Joshi, 1989
2
Contemporary Abstract Algebra
If (p is a homomorphism from G to H and o is a homomorphism from H to K, show that orb is a homomorphism from G to K. How are Ker d) and Ker o'qb related? If <1) and o are onto and G is finite, describe [Ker 0'tb:Ker 4)] in terms of lHl and ...
Joseph Gallian, 2012
3
Algebra
Let R and S be rings and <p : R — y s a ring homomorphism. Then every S- module A can be made into an R -module by defining rx (x e A) to be <p(r)x. One says that the R-module structure of A is given by pullback along <p. EXAMPLE.
Thomas W. Hungerford, 1974
4
A Concrete Introduction to Higher Algebra
Also associated with a ring Ris U(R), the group of units, or invertible elements, of R. If f : R → S is a ring homomorphism, then restricting f to the subset U(R) of R yields a group homomorphism from U(R) to U(S), because f takes the identity ...
Lindsay Childs, 2009
5
Lattice Theory: Foundation: Foundation
Let us define a homomorphism of the semilattice (So; o) into the semilattice (iSi;o) as a map p : Sq — > Si satisfying p(a o b) = <p(a) o (p(b). Since a lattice £ = (L; V, A) is a semilattice both under V and under A, we get two homomorphism ...
George Grätzer, 2011
6
Sheaf Theory
A homomorphism of sheaves h : *d — * 33 is a map such that h{Ax) c &3X for all x 6 X and the restriction hx : Ax —* 33x of h to stalks is a homomorphism for all x. A homomorphism of sheaves induces a homomorphism of the presheaves of ...
Glen E. Bredon, 1997
7
Elements of Algebra: Geometry, Numbers, Equations
The permutation sign homomorphism. An is the kernel of the sign homomorphism Sn — » C^ = {1,-1} that sends a permutation a to -1 if a changes the sign of ^(xi, . . . , xn) and to 1 if it does not (compare with the definition of An in Section 7.5).
John Stillwell, 1994
8
Graph-based Knowledge Representation: Computational ...
The fundamental notion for studying and using BGs is homomorphism. In the CG community, a BG homomorphism is traditionally called a projection. We prefer the term “homomorphism” for two reasons. First, it corresponds to the classical ...
Michel Chein, Marie-Laure Mugnier, 2008
9
A Concrete Introduction to Higher Algebra
If f:G->H is a homomorphism, and if g in G has inverse g'1 so that g*g~l = eG, then /(g_1) = fig)-1, the inverse of /(g). This follows because eH = /(«e) = /(0 *0-1) = f(g) *f(g-1), and the inverse of /(g) is unique. We have implicitly seen many ...
Lindsay N. Childs, 2000
10
Lie Groups Beyond an Introduction
The local result is another consequence of the correspondence between analytic subgroups and Lie subalgebras. In fact, suppose that G and H are analytic groups and that <p : Q -+ f) is a homomorphism between their Lie algebras. Let 5 = {(X ...
Anthony W. Knapp, 2002

2 NEWS ITEMS WHICH INCLUDE THE TERM «HOMOMORPHISM»

Find out what the national and international press are talking about and how the term homomorphism is used in the context of the following news items.
1
Cooperative software framework helps tame "too big" data
In GEMS, SPARQL queries are modeled as graph homomorphism routines, enriched with solution modifiers (e.g., sorting, aggregation) to ... «Phys.Org, Mar 15»
2
Seeing light through others' eyes
A formal power series about the origin is an infinite sum. Homomorphism is an isomorphism if and only if the matrix is inevitable. Advertisement. «Sydney Morning Herald, Dec 11»

REFERENCE
« EDUCALINGO. Homomorphism [online]. Available <https://educalingo.com/en/dic-en/homomorphism>. Apr 2019 ».
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