# Can you find any rings with different additive and the same multipliaction operation?

Printable View

• August 4th 2012, 07:11 AM
JOHNI
Can you find any rings with different additive and the same multipliaction operation?
HELLO ALL !
Are there any rings with different additive and the same multipliaction operation ?

THANK YOU !
• August 4th 2012, 03:29 PM
HallsofIvy
Re: Can you find any rings with different additive and the same multipliaction operat
How about
1) The set of integers with the usual addition and multiplication.
2) The set of integrs with the usual multiplication and addition given by $a\circ+ b= 2(a+b)$ where the addition on the right is the usual addition.
• August 5th 2012, 04:16 PM
JOHNI
Re: Can you find any rings with different additive and the same multipliaction operat
Thank you very much !