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- Title
On Symmetric Additive Mappings and Their Applications.
- Authors
Ali, Shakir; Alsuraiheed, Turki; Varshney, Vaishali; Wijayanti, Indah Emilia
- Abstract
The key motive of this paper is to study symmetric additive mappings and discuss their applications. The study of these symmetric mappings makes it possible to characterize symmetric n-derivations and describe the structure of the quotient ring S / P , where S is any ring and P is a prime ideal of S. The symmetricity of additive mappings allows us to transfer ring theory results to functional analyses, particularly to C ∗ -algebras. Precisely, we describe the structures of C ∗ -algebras via symmetric additive mappings.
- Subjects
PRIME ideals; RING theory; QUOTIENT rings; C*-algebras; FUNCTIONAL analysis
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 10, p1874
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15101874