On Symmetric Additive Mappings and Their Applications-Reference-Cited by-同舟云学术

On Symmetric Additive Mappings and Their Applications

Published:2023-10-06 Issue:10 Volume:15 Page:1874
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Ali Shakir¹^ORCID,Alsuraiheed Turki²^ORCID,Varshney Vaishali¹^ORCID,Wijayanti Indah Emilia³^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202002, India

2. Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

3. Department of Mathematics, Universitas Gadjah Mada, Yogyakarta 55281, Indonesia

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.

Funder

King Saud University

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/10/1874/pdf

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