Fuzzy Annihilator Ideals of C-Algebra. (10th September 2021)

• Record Type: Journal Article
• Authors: Norahun, Wondwosen Zemene; Alemayehu, Teferi Getachew; Addis, Gezahagne Mulat
• Other Names: Di Martino Ferdinando Academic Editor.
• Is Part Of: Advances in fuzzy systems. Volume 2021(2021)
• Publication Date: 2021-09-10
• Subjects: Fuzzy systems -- Periodicals; Systèmes flous; Fuzzy systems; Periodicals; 511.313
• DOI: 10.1155/2021/7481960
• Languages: English
• ISSNs: 1687-7101

Abstract

Abstract : In this paper, we introduce the concept of relative fuzzy annihilator ideals in C -algebras and investigate some its properties. We characterize relative fuzzy annihilators in terms of fuzzy points. It is proved that the class of fuzzy ideals of C -algebras forms Heything algebra. We observe that the class of all fuzzy annihilator ideals can be made as a complete Boolean algebra. Moreover, we study the concept of fuzzy annihilator preserving homomorphism. We provide a sufficient condition for a homomorphism to be a fuzzy annihilator preserving.