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Endomorphism

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endomorphism [′en·də′mȯr‚fiz·əm]
(mathematics)
A function from a set with some structure (such as a group, ring, vector space, or topological space) to itself which preserves this structure.

Endomorphism 

a mapping of a set into itself in which the algebraic operations and relations defined on the set are preserved. For example, the mapping x → 2x is an endomorphism of an additive group of whole numbers, such that 2(x + y) = 2x + 2y.



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We have induced formal definition of endomorphism from the definition of homomorphism because it is a special case of it.
00 Hardcover QA251 Dedicated as a memorial for a former tutor and Fellow at Worcester College, Oxford, this mathematics textbook features papers on algebraic interactions with set theories and includes published results on the endomorphism algebras of modules and Abelian groups.
 
 
 
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