I'm looking to prove that the following conditions are equivalent for an ideal I in a ring R. 1) 1 is in A 2) A contains a unit 3) A = R thanks
Follow Math Help Forum on Facebook and Google+
I guess that A means I So since is a unit, is obvious. If contains a unit , then, by ideal's definition, so . because of ideal's definition. So . Finally, , therefore .
View Tag Cloud