Characterization of (α, β) Jordan bi-derivations in prime rings

被引：0

作者：

Ahmed, Wasim ^{[1
]}

Alali, Amal S. ^{[2
]}

Mozumder, Muzibur Rahman ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India

[2] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 06期

关键词：

prime ring; Jordan derivation; symmetric ( alpha; beta ) Jordan bi-derivation;

D O I：

10.3934/math.2024707

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S be a prime ring with automorphisms alpha, beta . A bi-additive map D is called an ( alpha, beta ) Jordan bi-derivation if D( k 2 , s ) = D( k , s ) alpha ( k ) + beta ( k ) D( k , s ). In this paper, we find conditions under which a symmetric ( alpha, beta ) Jordan bi-derivation becomes a symmetric ( alpha, beta ) bi-derivation. We also characterize the symmetric ( alpha, beta ) Jordan bi-derivations.

引用

页码：14549 / 14557

页数：9

共 12 条

[1] A basic functional identity with applications to Jordan σ-biderivations [J].

Abdioglu, Cihat ;

Lee, Tsiu-Kwen .

COMMUNICATIONS IN ALGEBRA, 2017, 45 (04) :1741-1756

[2]

[Anonymous], 1980, Glas. Mat. Ser.

[3]

Ashraf M, 2003, INDIAN J PURE AP MAT, V34, P291

[4]

BRESAR M, 1988, P AM MATH SOC, V104, P1003

[5] JORDAN DERIVATIONS ON PRIME-RINGS [J].

BRESAR, M ;

VUKMAN, J .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1988, 37 (03) :321-322

[6] JORDAN DERIVATIONS ON RINGS [J].

CUSACK, JM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 53 (02) :321-324

[7] Generalized Jordan Semiderivations in Prime Rings [J].

De Filippis, Vincenzo ;

Mamouni, Abdellah ;

Oukhtite, Lahcen .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2015, 58 (02) :263-270

[8]

Herstein I.N., 1957, Proc. Amer. Math. Soc, V8, P1104, DOI [10.1090/S0002-9939-1957-0095864-2, DOI 10.1090/S0002-9939-1957-0095864-2]

[9] Generalized Jordan derivations on prime rings and standard operator algebras [J].

Jing, W ;

Lu, SJ .

TAIWANESE JOURNAL OF MATHEMATICS, 2003, 7 (04) :605-613

[10] Functional identities and Jordan σ-derivations [J].

Lee, Tsiu-Kwen .

LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (02) :221-234

← 1 2 →