4 papers · 1 filter
Generalized (m,n)-Jordan centralizers and derivations on semiprime rings
Arindam Ghosh, Om Prakash
In this article, we prove Conjecture posed in 2013 by Foner \cite{fos} and Conjecture posed in 2014 by Ali and Foner \cite{ali} related to generalized…
Jordan left {g, h}-derivations over some algebras
Arindam Ghosh, Om Prakash
In this article, left {g, h}-derivation and Jordan left {g, h}-derivation on algebras are introduced. It is shown that there is no Jordan left {g, h}-derivation over $\mathcal{M}_n…
Jordan {g, h}-derivations on algebra of matrices
Arindam Ghosh, Om Prakash
In this article, we show that every Jordan {g, h}-derivation over T_n(C) is a {g, h}-derivation under an assumption, where C is a commutative ring with unity 1 not equal to 0. We g…
Remarks on Jordan derivations over matrix algebras
Arindam Ghosh, Om Prakash
Let C be a commutative ring with unity. In this article, we show that every Jordan derivation over an upper triangular matrix algebra T_n(C) is an inner derivation. Further, we ext…