University of Tabriz Computational Methods for Differential Equations 2345-3982 7 Issue 4 (Special Issue) 2019 08 01 Automatic continuity of almost conjugate Jordan homomorphism on Fr$\acute{\text{e}}$chet $Q$-algebras 601 607 9209 EN Mohammad Reza Omidi Department of Basic Sciences,Kermanshah University of Technology, Kermanshah, Iran Journal Article 2019 06 26 In this paper, the notation of almost conjugate Jordan homomorphism between Fr$\acute{\mathbf{\text{e}}}$chet algebras is introduced. It is proven that, under special hypotheses, every  almost conjugate Jordan homomorphism on  Fr$\acute{\mathbf{\text{e}}}$chet algebras is an (weakly) almost homomorphism. Also, the automatic continuity of them is generalized. Almost conjugate Jordan homomorphism Almost Jordan homomorphism Almost homomorphism Fr$\acute{\text{e}}$chet $Q$-algebras https://cmde.tabrizu.ac.ir/article_9209_676e9e1f9e15110f01d4db867bb74a8b.pdf