English Dictionary

ring homomorphism

名詞

(algebra) A function from one ring to another one which preserves the structure of the additive operation, the structure of the multiplicative operation, the zero element (additive identity), and, if there is one, the unity element (multiplicative identity).

日本語の意味

環同型写像：環（algebraにおける環）から環へ写像を行い、加法演算、乗法演算、零元（加法単位元）、および存在する場合は単位元（乗法単位元）を保存する関数

To illustrate the concept in class, the lecturer constructed a ring homomorphism from one polynomial ring to another and demonstrated that it preserves addition, multiplication, the zero element, and, when present, the unity.

概念を説明するために、講師は一つの多項式環から別の多項式環への写像である環準同型を構成し、それが加法、乗法、零元、そして存在する場合は乗法単位元を保存することを示した。

意味（1）

(algebra) A function from one ring to another one which preserves the structure of the additive operation, the structure of the multiplicative operation, the zero element (additive identity), and, if there is one, the unity element (multiplicative identity).

ring homomorphisms （ plural ）