On Generalized Triangular Matrix Rings
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For a generalized triangular matrix ring $T=\left[\begin{array}{cc}R & M \\0 & S\end{array} \right] $,over rings $R$ and $S$ having only the idempotents $0$ and $1$ and over an $(R,S)$-bimodule $M$,we characterize all homomorphisms $\alpha$'s and all $\alpha$-derivations of $T$. Some of the homomorphisms arecompositions of an inner homomorphism and an extended or a twisted homomorphism.
Abstract
For a generalized triangular matrix ring $T=\left[\begin{array}{cc}R & M \\0 & S\end{array} \right] $,over rings $R$ and $S$ having only the idempotents $0$ and $1$ and over an $(R,S)$-bimodule $M$,we characterize all homomorphisms $\alpha$'s and all $\alpha$-derivations of $T$. Some of the homomorphisms arecompositions of an inner homomorphism and an extended or a twisted homomorphism.
참고문헌 (5)
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- H. Ghahramani, "Di erential polynomial rings of triangular matrix rings", Bulletin of the Iranian Mathematical Society, 34(2), pp.71~96 (2008)
- M. N. Ghosseiri, "The structure of ( ; )-derivations of triangular rings", Iranian Journal of Science & Techonology, Transaction A, 29(A3), pp.507~514 (2005)
- R. Khazal, "Isomomorphism of generalized triangular matrixrings and recovery of tiles", Internat. J. Math. Sci., 2003(9), pp.533~538 (2003)