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http://dx.doi.org/10.4134/CKMS.c190362

ON GENERALIZED JORDAN DERIVATIONS OF GENERALIZED MATRIX ALGEBRAS  

Ashraf, Mohammad (Department of Mathematics Aligarh Muslim University)
Jabeen, Aisha (Department of Applied Sciences & Humanities Jamia Millia Islamia)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.3, 2020 , pp. 733-744 More about this Journal
Abstract
Let 𝕽 be a commutative ring with unity, A and B be 𝕽-algebras, M be a (A, B)-bimodule and N be a (B, A)-bimodule. The 𝕽-algebra 𝕾 = 𝕾(A, M, N, B) is a generalized matrix algebra defined by the Morita context (A, B, M, N, 𝝃MN, ΩNM). In this article, we study generalized derivation and generalized Jordan derivation on generalized matrix algebras and prove that every generalized Jordan derivation can be written as the sum of a generalized derivation and antiderivation with some limitations. Also, we show that every generalized Jordan derivation is a generalized derivation on trivial generalized matrix algebra over a field.
Keywords
Generalized matrix algebras; generalized derivation; Jordan derivation;
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Times Cited By KSCI : 1  (Citation Analysis)
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