An Etymological Dictionary of Astronomy and Astrophysics
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فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory

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Number of Results: 8 Search : morphism
automorphism
  خود-ریخت‌مندی   
xod-rixtmandi

Fr.: automorphisme   

An → isomorphism between an → object and itself.

auto-; → morphism.

bijective morphism
  ریخت‌شناسی ِ دوشانی   
rixtšenâsi-ye došâni

Fr.: morphisme bijectif   

Same as → isomorphism.

bijective; → morphism.

endomorphism
  درون-ریخت‌مندی   
darun-rixtmandi

Fr.: endomorphisme   

A → morphism from an → object to itself.

endo-; → morphism.

epimorphism
  اپی-ریخت‌مندی   
api-rixtmandi

Fr.: épimorphisme   

A → morphism f : Y → X if, for any two morphisms u,v : X → Z, u f = v f  implies u = v.

epi-; → morphism.

homomorphism
  هم-ریخت‌مندی   
ham-rixtmandi

Fr.: homomorphisme   

A → mapping between two mathematical → objects that preserves the object structure. A general → morphism.

homo-; → morphism.

isomorphism
  ایزو-ریخت‌مندی   
izo-rixtmandi

Fr.: isomorphisme   

A one-to-one → mapping between two → sets, which preserves the relations existing between elements in its → domain. An isomorphism is a → bijective morphism.

iso-; → morphism.

monomorphism
  تک-ریخت‌مندی   
tak-rixtmandi

Fr.: monomorphisme   

A → morphismf : Y → X if, for any two morphisms u,v : Z → Y, f u = f v  implies that u =v.

mono-; → morphism.

morphism
  ریخت‌مندی   
rixtmandi

Fr.: morphisme   

A → mapping between two → objects in a → category.

morphology; → -ism.

From rixt, → morphology, + -mandi, → ism.