![ring theory - Lang's *Algebra*: definition of $F[\alpha]$ and why it's an integral domain? - Mathematics Stack Exchange ring theory - Lang's *Algebra*: definition of $F[\alpha]$ and why it's an integral domain? - Mathematics Stack Exchange](https://i.stack.imgur.com/pee7I.png)
ring theory - Lang's *Algebra*: definition of $F[\alpha]$ and why it's an integral domain? - Mathematics Stack Exchange
![abstract algebra - Does every element of an integral domain have an inverse? - Mathematics Stack Exchange abstract algebra - Does every element of an integral domain have an inverse? - Mathematics Stack Exchange](https://i.stack.imgur.com/D6z0I.png)
abstract algebra - Does every element of an integral domain have an inverse? - Mathematics Stack Exchange
![SOLVED: (22 marks) Write down An example (without motivation) of each of the following (and state explicitly so if no such example exists): unit (an invertible element) in Clz]. except or - [ SOLVED: (22 marks) Write down An example (without motivation) of each of the following (and state explicitly so if no such example exists): unit (an invertible element) in Clz]. except or - [](https://cdn.numerade.com/ask_images/ef9e916a469b48589734509c13555bdf.jpg)
SOLVED: (22 marks) Write down An example (without motivation) of each of the following (and state explicitly so if no such example exists): unit (an invertible element) in Clz]. except or - [
![SOLVED: (a) State, with justification, whether each of the following pairs of rings are isomorphic (demonstrate an isomorphism if one exists) 3Z and 9Z (ii) Zz @ Zz and Z C and SOLVED: (a) State, with justification, whether each of the following pairs of rings are isomorphic (demonstrate an isomorphism if one exists) 3Z and 9Z (ii) Zz @ Zz and Z C and](https://cdn.numerade.com/ask_images/3aba177c8c1a49bf84dabbe8af6641a9.jpg)