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Meaning of HOMOMORPHISM

Pronunciation:  `howmu'morfizum

WordNet Dictionary
 
 Definition: [n]  similarity of form
 
 Websites: 
 
 Synonyms: homomorphy
 
 See Also: similarity

 

 

Webster's 1913 Dictionary
 
 Definition: 
\Ho`mo*mor"phism\, n. [See {Homomorphous}.]
1. (Biol.) Same as {Homomorphy}.
2. (Bot.) The possession, in one species of plants, of only
   one kind of flowers; -- opposed to heteromorphism,
   dimorphism, and trimorphism.
3. (Zo["o]l.) The possession of but one kind of larv[ae] or
   young, as in most insects.
 
Computing Dictionary
 
 Definition: 

A map f between groups A and B is a homomorphism of A into B if

        f(a1 * a2) = f(a1) * f(a2)  for all a1,a2 in A.

where the *s are the respective group operations.

 

 

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