An Etymological Dictionary of Astronomy and Astrophysics
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An → isomorphism between an → object and itself.

→ auto-; → morphism.

Same as → isomorphism.

→ bijective; → morphism.

A → morphism from an → object to itself.

→ endo-; → morphism.

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

→ epi-; → morphism.

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

→ homo-; → morphism.

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.

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

→ mono-; → morphism.

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

→ morphology; → -ism.

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