Abstract
Commutativity of Prime Ring with Orthogonal Symmetric Biderivations
Highlights
More than a few authors, investigated the structure prime ring & semiprime rings accepting the derivations, generalized derivations etc
Later on (Bresar 1993) used centralizing concept using derivations. These generalizations was done in the article derivations using semiprime rings with results are commutative by (Daif 1998)
The concept of symmetric biderivations on prime and semiprime rings was introduced by (Vukman 1989).The notation and terminology in this paper follows (Vukman 1990 and Oukhtite 2011). Many authors have their contribution to orthogonality of derivations on semiprime as well as prime rings
Summary
More than a few authors, investigated the structure prime ring & semiprime rings (commutativity) accepting the derivations, generalized derivations etc. Later on (Bresar 1993) used centralizing concept using derivations These generalizations was done in the article derivations using semiprime rings with results are commutative by (Daif 1998). The concept of symmetric biderivations on prime and semiprime rings was introduced by (Vukman 1989).The notation and terminology in this paper follows (Vukman 1990 and Oukhtite 2011). Many authors have their contribution to orthogonality of derivations on semiprime as well as prime rings.
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