Anti-derivations on triangular rings

Document Type : Original Article

Authors

Hoger Ghahramani

Mohammad Nader Ghosseiri

Tahereh Rezaei

Department of Mathematics, Faculty of Science, University of Kurdistan, P.O. Box 416, Sanandaj, Kurdistan, Iran

10.22034/kjm.2022.353067.2611

Abstract

‎The aim of this paper is to give necessary and sufficient conditions for anti-derivations to be zero on 2-torsion free triangular rings. As application of our main result‎, ‎we present sufficient conditions for anti-derivations to be zero on block upper triangular matrix rings‎. The aim of this paper is to give necessary and sufficient conditions for anti-derivations to be zero on 2-torsion free triangular rings. As application of our main result‎, ‎we present sufficient conditions for anti-derivations to be zero on block upper triangular matrix rings‎.

Keywords

Anti-derivation

T‎‎‎riangular ring

Block upper triangular matrix ring

---