Question

#22 on the picture. 

22. Define a new addition O and multiplication O on Z by
abma+b-1 and
aObma+b- ab,
where the operations on the right-hand side of the equal signs are ordinary
addition, subtraction, and multiplication. Prove that, with the new operations
O and O, Zisan integral domain.
23. Let E be the set of even integers with ordinary addition. Define a new
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22. Define a new addition O and multiplication O on Z by abma+b-1 and aObma+b- ab, where the operations on the right-hand side of the equal signs are ordinary addition, subtraction, and multiplication. Prove that, with the new operations O and O, Zisan integral domain. 23. Let E be the set of even integers with ordinary addition. Define a new

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