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Words Kanji Guides About

準同型 (じゅんどうけい) Japanese meaning | Kotomora

準じゅん同どう型けい

じゅ

ん

ど

う

け

い

Meanings

1

noun

homomorphism

mathematics

Technical term in abstract algebra: a structure-preserving map between two algebraic structures of the same type.

群ぐんの準じゅん同どう型けいは、演えん算ざんを保ほ存ぞんする写しゃ像ぞうである。
A group homomorphism is a map that preserves the operation.

環かん

準じゅん

同どう

型けい

は

加か

法ほう

と

乗じょう

法ほう

の

両りょう

方ほう

を

保たも

つ

。

A ring homomorphism preserves both addition and multiplication.

Kanji

準semi-, correspond to, proportionate to
同same, agree, equal
型mould, type, model

Similar words

同どう型けい
同型 (isomorphism) is a bijective homomorphism whose inverse is also a homomorphism; 準同型 is the more general structure-preserving map.
準じゅん同どう型けい写しゃ像ぞう
準同型写像 is a longer, more explicit synonym for homomorphism, often used in textbooks.

Etymology

Compound of 準 (jun, 'quasi-; semi-') + 同型 (dōkei, 'isomorphism'), reflecting a map that preserves structure but is not necessarily bijective.