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DICTIONARY

noun

adjective

verb

adverb

pronoun

preposition

conjunction

determiner

exclamation

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

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

homolographic

homologue

homologumena

homology

homolosine projection

homolysis

homolytic

homolytic fission

homomorph

homomorphic

homomorphosis

homomorphous

homomorphy

homonuclear

homonym

homonymic

homonymity

homonymous

homonymously

homonymy

allomorphism

anamorphism

Buddhism

catastrophism

diastrophism

enantiomorphism

endomorphism

Guelphism

gynandromorphism

idiomorphism

paramorphism

pleomorphism

psephism

pseudomorphism

rheomorphism

sapphism

sexual dimorphism

sophism

theriomorphism

trimorphism

zygomorphism

SYNONYMS

TRANSLATOR

ar

280 millions of speakers

vi

80 millions of speakers

el

15 millions of speakers

af

14 millions of speakers

sv

10 millions of speakers

no

5 millions of speakers

TRENDS

0

100%

FREQUENCY

Quite widely used

75

/100
EXAMPLES

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
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»

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>. Nov 2019 ».