On Symmetric Additive Mappings and Their Applications

被引：0
|
作者：
Ali, Shakir [1 ]
Alsuraiheed, Turki [2 ]
Varshney, Vaishali [1 ]
Wijayanti, Indah Emilia [3 ]
机构：
[1] Aligarh Muslim Univ, Fac Sci, Dept Math, Aligarh 202002, India
[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[3] Univ Gadjah Mada, Dept Math, Yogyakarta 55281, Indonesia
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 10期
关键词：
additive symmetric mapping; biadditive mapping; derivation; symmetric n-derivation; symmetric generalized n-derivation; C*-algebra; prime ideal; PERMUTING N-DERIVATIONS; GENERALIZED DERIVATIONS; TRACES; PRIME; COMMUTATIVITY;
D O I：
10.3390/sym15101874
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
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页数：17
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