Document Type: Research Paper
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran, and, Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, Iran
Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran
Department of Mathematics, Atilim University, 06836, Incek, Ankara, Turkey
In this paper, we show that every surjective $n$-homomorphism ($n$-anti-homomorphism) from a Banach algebra $A$ into a semisimple Banach algebra $B$ is continuous.