![abstract algebra - For a ring homomorphism, $\phi\left ( x \right )=0$ or $\phi\left ( x \right )=x.$ - Mathematics Stack Exchange abstract algebra - For a ring homomorphism, $\phi\left ( x \right )=0$ or $\phi\left ( x \right )=x.$ - Mathematics Stack Exchange](https://i.stack.imgur.com/3WkaN.png)
abstract algebra - For a ring homomorphism, $\phi\left ( x \right )=0$ or $\phi\left ( x \right )=x.$ - Mathematics Stack Exchange
![SOLVED: (a) Define what is meant by a ring homomorphism between two rings R and S, and define what is meant by its kernel. (6) Suppose that φ: R â†' S is SOLVED: (a) Define what is meant by a ring homomorphism between two rings R and S, and define what is meant by its kernel. (6) Suppose that φ: R â†' S is](https://cdn.numerade.com/ask_images/44065acaa9c74122a98d33e110a8359a.jpg)
SOLVED: (a) Define what is meant by a ring homomorphism between two rings R and S, and define what is meant by its kernel. (6) Suppose that φ: R â†' S is
![Kernel of Ring Homomorphism - Definition - Homomorphism/ Isomorphism - Ring Theory - Algebra - YouTube Kernel of Ring Homomorphism - Definition - Homomorphism/ Isomorphism - Ring Theory - Algebra - YouTube](https://i.ytimg.com/vi/d5HTRAEMy3g/hqdefault.jpg)
Kernel of Ring Homomorphism - Definition - Homomorphism/ Isomorphism - Ring Theory - Algebra - YouTube
![SOLVED: Abstract Algebra Suppose that R is a ring and I is an ideal of R. 1. Verify that the function : R - R/I defined by (r) = r + I SOLVED: Abstract Algebra Suppose that R is a ring and I is an ideal of R. 1. Verify that the function : R - R/I defined by (r) = r + I](https://cdn.numerade.com/ask_images/ab5f49a3c0df4c1b977348e7f8e4692c.jpg)
SOLVED: Abstract Algebra Suppose that R is a ring and I is an ideal of R. 1. Verify that the function : R - R/I defined by (r) = r + I
![Example: [Z m ;+,*] is a field iff m is a prime number [a] -1 =? If GCD(a,n)=1,then there exist k and s, s.t. ak+ns=1, where k, s Example: [Z m ;+,*] is a field iff m is a prime number [a] -1 =? If GCD(a,n)=1,then there exist k and s, s.t. ak+ns=1, where k, s ](https://images.slideplayer.com/31/9708903/slides/slide_4.jpg)
Example: [Z m ;+,*] is a field iff m is a prime number [a] -1 =? If GCD(a,n)=1,then there exist k and s, s.t. ak+ns=1, where k, s
![abstract algebra - Substitution principle example? (for ring homomorphisms $R[x]\to S$) - Mathematics Stack Exchange abstract algebra - Substitution principle example? (for ring homomorphisms $R[x]\to S$) - Mathematics Stack Exchange](https://i.stack.imgur.com/hlYNb.png)