Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings

Orthogonal Semiderivations and Symmetric Bi-semiderivations in Semiprime Rings

In this paper, orthogonality for symmetric bi-semiderivations is defined and some results are obtained when two symmetric bi-semiderivations are orthogonal. Also, this paper gives the notion of orthogonality between semiderivations and symmetric bi-semiderivations of a 2-torsion free semiprime ring and offers some results of orthogonality.

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