Document Type : Research Paper

Authors

• Zohre Heidarpour ¹
• Esmaeil Ansari-Piri ²
• Hamid Shayanpour ³
• Ali Zohri ¹

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

Abstract

‎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.

Keywords

• Almost multiplicative maps
• n-homomorphism maps
• approximately n-multiplicatives
• LMC algebras