Generalized derivation on semiprime and prime Banach algebras

被引:0
作者
Sogutcu, Emine Koc [1 ]
机构
[1] Sivas Cumhuriyet Univ, Fac Sci, Dept Math, Sivas, Turkiye
关键词
Derivation; generalized derivation; prime; semiprime; Banach algebras; radical; SCP map; COMMUTATIVITY;
D O I
10.1515/gmj-2024-2027
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, the commutativity conditions with generalized derivations, which have not been examined before, are discussed. Under these conditions, the subject of generalized derivations in (semi)prime Banach algebras is studied. New fundamental results will be provided for researchers in this field and generalize some of the results found in the literature.
引用
收藏
页码:1021 / 1032
页数:12
相关论文
共 24 条
[1]  
Ali Asif, 2006, [Bulletin of the KMS, 대한수학회보], V43, P711
[2]  
Ali S., 2013, J. Phys. Chem. Biophys, V3, P1, DOI [DOI 10.5376/JTSR.2021.11.0001, DOI 10.5376/JTSR.2013.03.0001]
[3]  
Ashraf M., 2002, Results Math., V42, P3, DOI [10.1007/BF03323547, DOI 10.1007/BF03323547]
[4]  
ASHRAF M., 2007, Southeast Asian Bull. Math., V31, P415
[5]   A note on commutativity of semiprime Banach algebras [J].
Ashraf M. ;
ur Rehman N. ;
Raza M.A. .
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2016, 57 (3) :553-560
[6]  
Beidar K. I., 1996, RINGS GEN IDENTITIES
[7]   LIE IDEALS AND DERIVATIONS OF PRIME-RINGS [J].
BERGEN, J ;
HERSTEIN, IN ;
KERR, JW .
JOURNAL OF ALGEBRA, 1981, 71 (01) :259-267
[9]   HYPERCENTRAL DERIVATIONS [J].
CHUANG, CL .
JOURNAL OF ALGEBRA, 1994, 166 (01) :34-71
[10]   THE ADDITIVE SUBGROUP GENERATED BY A POLYNOMIAL [J].
CHUANG, CL .
ISRAEL JOURNAL OF MATHEMATICS, 1987, 59 (01) :98-106