Logical Operators on characters in R

I just wanted to know how R evaluate different characters when applied logical operators. Like

"a"> "b""b"> "c""a+b"> "b+a""-"> "+""&"> "%"

I just wanted to know how R arrange different symbols and characters in ascending or descending order? My prior belief was "NA" for each operation defined above. But R returns either TRUE or FALSE for each and every case.