How are you doing? I have a question in Algebra: how can we describe the reflexivity of a relation defined in a set that is resultant of a cartesian product of two different sets A={a,b,c} and B={d,e,f}: where: A x B={(a,d);(a,e);(a,f);(b,d);(b,e);.....} and considering the graph of the relation is: G={(a,d);(b,d);(c,f)} How can the reflexivity be expressed here in G? should we say (could be wrong) for the first couple :
aRa and dRd
- however i know that in a single set (of elements x) where a relation R is defined we can express reflexivity by saying: xRx.
therfore I concluded that if we're dealing with single set elements of which are couples we could express it this way:
(a,d)R(a,d)
is that right?? Thanks in advance