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November 20th, 2018, 12:21 AM   #1
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Composition of relations

For function, a composition can be defined if the range of the first function is a subset of the domain of the second function. For a general relation, a binary composition can be defined if there is a “bridging” set in between two relations eg. R1:X->Y and R2:Y->Z then the composition of R2 with R1 is donoted by R2。R1:X->Z

My question is can the set Y in both relations be different, say R1 is from {1,2,3} to {a,b,c} while R2 is from {a,b,c,d,e} to {1,2,3,4,5}. Does R2。R1 exist for this case?
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