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). |
Example 1. If R is any ring and S ⊂ R is a subring, then the inclusion i: S ,→ R is a ring homomorphism. |
12 авг. 2024 г. · A ring homomorphism is a function between two rings that respects the ring operations (addition and multiplication). A set ... |
4 авг. 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 ... |
5 мар. 2022 г. · Let R and S be rings. Then φ:R→S is a homomorphism if: If the homomorphism is a bijection, then it is an isomorphism. |
homomorphism, we have the concept of a ring homomorphism. So it is natural to expect a ring homomorphism to be a map between rings that preserves the ring ... |
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