TITLE:
Extension of Homomorphisms-Isomorphisms and Derivatives on Quasi-Banach Algebra Based on the General Additive Cauchy-Jensen Equation
AUTHORS:
Ly Van An
KEYWORDS:
Generalized Additive Equation Cauchy-Jensen Additive, Homomorphisms, Isomorphism and Derivatives on Quasi-Banach Algebra, Quasi-Normed Algebras, p-Banach Algebras
JOURNAL NAME:
Open Access Library Journal,
Vol.10 No.4,
April
28,
2023
ABSTRACT: In this paper, I establish homomorphisms, isomorphisms, and derivatives of quasi-algebras based on the general additive equation Cauchy-Jensen with 3k variables. First, I establish the homomorphisms for Equation (1.1); second, I establish the isomorphisms for Equation (1.2); and finally, I develop the derivative for Equation (1.3). These are the main results of this paper.