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PhysicsHelp12
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Hi so this isn't homework its in my book , i just don't get it they skipped this step
Let R=Z(i) be the ring of gaussian integers and let A=(2+i)R denote the ideal of all multiples of 2+i Describe the cosets of R/A
im just having trouble understaning this step:
"Since 2+i is in A we have i+A=-2+A"
and then it does it again "Since 5 is in A 5+A=0+A"
why is this?
thanks
Let R=Z(i) be the ring of gaussian integers and let A=(2+i)R denote the ideal of all multiples of 2+i Describe the cosets of R/A
im just having trouble understaning this step:
"Since 2+i is in A we have i+A=-2+A"
and then it does it again "Since 5 is in A 5+A=0+A"
why is this?
thanks