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自己同型 (じこどうけい) Japanese meaning | Kotomora

自じ己こ同どう型けい

じ

こ

ど

う

け

い

Meanings

1

automorphism

Technical term in mathematics, especially abstract algebra, for an isomorphism from a mathematical object to itself.

群ぐんの自じ己こ同どう型けい全ぜん体たいは群

ぐん

を

なす

。

The set of all automorphisms of a group forms a group.

恒こう等とう写しゃ像ぞうは自じ明めいな自じ己こ同どう型けいである。

The identity map is a trivial automorphism.

Kanji

自oneself
己self
同same, agree, equal
型mould, type, model

Related words

同どう型けい
同型 (isomorphism) is a structure-preserving map between two objects, while 自己同型 (automorphism) is an isomorphism from an object to itself.
準じゅん同どう型けい
準同型 (homomorphism) is a more general structure-preserving map that may not be bijective, unlike an automorphism which is always bijective.

Etymology

Compound of 自己 (self) and 同型 (isomorphism), a calque from Western mathematical terminology.