homomorphism

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Wikipedia English The Free EncyclopediaDownload this dictionary
Homomorphism
In abstract algebra, a homomorphism is a structure-preserving map between two algebraic structures (such as groups, rings, or vector spaces). The word homomorphism comes from the Greek language: homoios meaning "same" and morphe meaning "shape".
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*-algebra
*-ring In mathematics, a *-ring is an associative ring with a map * : A → A which is an antiautomorphism, and an involution.More precisely, * is required to satisfy the following properties: for all x,y in A.This also called an involutive ring, involutory ring, and ring with involution.
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WordNet 2.0 DictionaryDownload this dictionary
homomorphism
Noun
1. similarity of form
(synonym) homomorphy
(hypernym) similarity



Webster's Revised Unabridged Dictionary (1913)Download this dictionary
Homomorphism
(n.)
The possession, in one species of plants, of only one kind of flowers; -- opposed to heteromorphism, dimorphism, and trimorphism.
  
 
(n.)
The possession of but one kind of larvae or young, as in most insects.
  
 
(n.)
Same as Homomorphy.
  

Webster's Revised Unabridged Dictionary (1913), edited by Noah Porter. About

FOLDOC DictionaryDownload this dictionary
homomorphism
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.


(c) Copyright 1993 by Denis Howe
Free English-Vietnamese DictionaryDownload this dictionary
homomorphism
homomorphism
[sự,tính, phép] đồng cấu h. into sự đồng cấu vào ample h. đồng cấu đủ canonical h. đồng cấu chính tắc, đồng cấu tự nhiên composition h. (đại số) đồng cấu hợp thành connecting h. đồng cấu liên kết crossed h. đồng cấu chéo diagonal h. (tô pô) phép đồng cấu tréo exponential h. (đại số) đồng cấu luỹ thừa homogeneous h. đồng cấu đồng nhất homotopic h. đồng cấu đồng luân identity h. đồng cấu đồng nhất inclusion h. đồng cấu bao hàm induced h. đồng cấu cảm sinh input h. đồng cấu vào iterated connecting h. đồng cấu liên thông lặp join h. đồng cấu nối local h. đồng cấu địa phương meet h. (đại số) đồng cấu giao natural h. đồng cấu tự nhiên norm h. đồng cấu chuẩn output h. đồng cấu ra proper h. đồng cấu thực sự splitting h. (đại số) phép đồng cấu tách suspension h. đồng cấu chéo
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