fr0598 #66
Posted: Mon Mar 29, 2010 6:16 am
Hey i have problem with this question
" Let R be a ring with a multiplicative identity. If U is an additive subgroup of R such that ur belongs to U for all u in U and for all r in R, then U is said to be a right ideal of R. If R has exactly two right ideals, which of the following must be true?
I R is commutative
II R is a division ring
III R is infinite.
By the way, what s a right ideal???
" Let R be a ring with a multiplicative identity. If U is an additive subgroup of R such that ur belongs to U for all u in U and for all r in R, then U is said to be a right ideal of R. If R has exactly two right ideals, which of the following must be true?
I R is commutative
II R is a division ring
III R is infinite.
By the way, what s a right ideal???