Further properties of the fuzzy complete a-fuzzy normed algebra

Rasha Khudhur Abbas; Jehad R. Kider

doi:10.24996/ijs.2024.65.1.26

Authors

Rasha Khudhur Abbas Branch of Mathematics, Department of Applied Sciences, University of Technology-Iraq
Jehad R. Kider Branch of Mathematics, Department of Applied Sciences, University of Technology-Iraq https://orcid.org/0000-0002-3173-5654

DOI:

https://doi.org/10.24996/ijs.2024.65.1.26

Keywords:

Character of a-fuzzy normed algebra, Structure of a-fuzzy normed algebra, ω^*-fuzzy topology on afb(Z, C), Fuzzy Tychonoff Theorem, fuzzy Gelfand transform

Abstract

In this paper further properties of the fuzzy complete a-fuzzy normed algebra have been introduced. Then we found the relation between the maximal ideals of fuzzy complete a-fuzzy normed algebra and the associated multiplicative linear function space. In this direction we proved that if is character on Z then ker is a maximal ideal in Z. After this we introduce the notion structure of the a-fuzzy normed algebra then we prove that the structure, st(Z) is -fuzzy closed subset of fb(Z, ) when (Z, , , ) is a commutative fuzzy complete a-fuzzy normed algebra with identity e.