Document Type : Research Paper
1 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran
2 Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
3 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran
We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps. We prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous. We also study the relationship between approximately multiplicative linear functionals and approximately n-multiplicative linear functionals.