# homomorphism

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Related to homomorphism: homeomorphism, Automorphism

## homomorphism

(hō′mə-môr′fĭz′əm, hŏm′ə-)
n.
1. Biology Similarity of external form or appearance but not of structure or origin.
2. Zoology A resemblance in form between the immature and adult stages of an animal.

References in periodicals archive ?
Note that additive homomorphism is obtained obviously, we thus only focus on how to obtain multiplicative homomorphism.
Then the maps [i.sub.A] and [i.sub.C] are continuous algebra homomorphisms. Moreover, the quotient map [[kappa].sub.I] : T [right arrow] A [??] C is a continuous algebra homomorphism.
Let [sigma]: M [right arrow] M be a continuous homomorphism and d: M [right arrow] M a [sigma]-derivation.
(2) Define a homomorphism [zeta] : (M [cross product] [M.sup.*], [mu] [cross product] [([[mu].sup.*]).sup.-1] [right arrow] ([End.sub.k](M, [mu]), [iota]) in [??]([M.sub.k]) by
Then there is a homomorphism [r.sub.1] : [G.sub.1] [right arrow] [K.sub.n] such that [r.sub.1](x) = x, or a homomorphism [r.sub.2] : [G.sub.2] [right arrow] [K.sub.n] such that [r.sub.2] (x) = x, for any vertex x of [K.sub.n].
A set-valued mapping H : [Q.sub.t] [right arrow] [P.sup.*] ([Q'.sub.t]) is called a strong set-valued homomorphism if we replace inclusion by equality in (1) and (2).
Image Encryption with Homomorphism. This component can be divided into two parts: the preprocessed image generation with prediction and homomorphism encryption.
where the ring homomorphism f# : Z[[intersection]] [right arrow] Z [[pi]] is defined by
Let f : R [right arrow] S be a ring homomorphism. If [xi] is a 2-absorbing primary fuzzy ideal of S, then [f.sup.-1] ([xi]) is a 2absorbing primary fuzzy ideal of R.
A 2-Jordan homomorphism is called simply a Jordan homomorphism.
(a) when L is of the form pV(K) for some rational subset K of [X.sup.+], where pV is the natural continuous homomorphism from [[??].sub.X]S to [[??].sub.X]V;
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