asymmetric doesnot have loops, but antisymmetric may have loop or it maynot be

right?

Dark Mode

srestha
asked
in Set Theory & Algebra
Apr 27, 2019

319 views
2 votes

you should know the difference between anti symmetric and A symmetric.

anti symmetric says - if (x,y) ∈ R then (y,x) ∉ R unless x=y** [means it allow those pairs as well in which x and y are equal]**

asymmetric says - if (x,y) ∈ R then (y,x) ∉ R **[** **it means he is more strict as he will not allow x=y pairs]**

__there are some relations which are antisymmetric but not asymmetric but there is no relation which is asymmetric but not antisymmetric.__