African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

Almost n-multiplicative maps

E. Ansari-Piri* and N. Eghbali
Faculty of Mathematical Science, University of Guilan, Rasht, Iran

  •  Accepted: 04 June 2012
  •  Published: 31 October 2012

Abstract

 

Let  and  be two linear algebras. A linear map  is called an n-homomorphism if  for all . The continuity of n-homomorphisms between Banach algebras as well as the almost multiplicative linear operators has been recently studied. In this note, we have a verification on the behavior of almost n-multiplicative linear maps with .

 

Key words: Almost multiplicative maps, -homomorphism maps, almost -multiplicative maps, stability

 

problem.