Reverse and Jordan (α,β)- biderivation on Prime and Semiprime Rings

In this study, we prove that any nonzero reverse (α,β)- biderivation on a prime ring is (α,β)- biderivation. Also, we show that any Jordan (α,β)- biderivation on non-commutative semi-prime ring R with char(R)≠2 is an (α,β)- biderivation. In addition, we investigate commutative feature of prime ring with Jordan left α- biderivation