- #1
pivoxa15
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Homework Statement
Show that the intersection of any two subrings of a ring is a subring.
The Attempt at a Solution
It seems abstract.
suppose a+b=c and a*b=d
Then if c is in A and B (where A and B are subrings) then the intersection of A and B denoted by C contains c and if C contains more the one element then it must contain a and b.
My argument may not be general enough.