✓ Solved: Let R={[a b 0 c] ∣ a, b, c ∈ Z}. Prove or disprove that the mapping [a b 0 c] → a is a ring...
![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)
abstract algebra - Substitution principle example? (for ring homomorphisms $R[x]\to S$) - Mathematics Stack Exchange
![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_14.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 - 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
![abstract algebra - Does a ring homomorphism necessarily induce a map of their spectrums? - Mathematics Stack Exchange abstract algebra - Does a ring homomorphism necessarily induce a map of their spectrums? - Mathematics Stack Exchange](https://i.stack.imgur.com/Rfy7U.png)
abstract algebra - Does a ring homomorphism necessarily induce a map of their spectrums? - Mathematics Stack Exchange
![PPT - Example: [ Z m ;+,*] is a field iff m is a prime number [a] -1 =? PowerPoint Presentation - ID:5394366 PPT - Example: [ Z m ;+,*] is a field iff m is a prime number [a] -1 =? PowerPoint Presentation - ID:5394366](https://image3.slideserve.com/5394366/6-6-3-ring-homomorphism-l.jpg)
PPT - Example: [ Z m ;+,*] is a field iff m is a prime number [a] -1 =? PowerPoint Presentation - ID:5394366
![abstract algebra - Proving that a ring homomorphism $R[X] \to R^R, p \mapsto \underline p$ takes $1$ to $1$ - Mathematics Stack Exchange abstract algebra - Proving that a ring homomorphism $R[X] \to R^R, p \mapsto \underline p$ takes $1$ to $1$ - Mathematics Stack Exchange](https://i.stack.imgur.com/fToEf.png)