In mathematics, a ring homomorphism is a structure-preserving function between two rings. More explicitly, if R and S are rings, then a ring homomorphism is ... |
| гомоморфизм колец |  |
В математике гомоморфизм колец — это функция, сохраняющая структуру между двумя кольцами. Более явно, если R и S — кольца, то гомоморфизм колец — это функция, сохраняющая сложение, умножение и мультипликативную идентичность; то есть,
для всех в Википедия (Английский язык)
A ring homomorphism is a map f:R->S between two rings such that 1. Addition is preserved: f(r_1+r_2)=f(r_1)+f(r_2), 2. The zero element is mapped to zero. |
4 июн. 2022 г. · A homomorphism between rings preserves the operations of addition and multiplication in the ring. |
A ring homomorphism is a function f:R→S satisfying f(x+y)=f(x)+f(y) and f(xy)=f(x)f(y). |
12 авг. 2024 г. · A ring homomorphism is a function between two rings that respects the ring operations (addition and multiplication). A set ... |
Example 1. If R is any ring and S ⊂ R is a subring, then the inclusion i: S ,→ R is a ring homomorphism. |
27 апр. 2015 г. · Ring Homomorphism Definition ... φ:R→S is said to be a ring homomorphism if, R,S are rings and φ is a map such that: φ(r1+r2)=φ(r1)+φ(r2),. φ(r1.r ... |
25 нояб. 2017 г. · A ring homomorphism is what the phrase suggests - a function that interacts with the whole ring structure. The phrase the multiplicative ... |
8 апр. 2018 г. · Definition. Let R and S be rings. A ring homomorphism (or a ring map for short) is a function f : R → S such that ... |
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