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http://dx.doi.org/10.7858/eamj.2014.016

ON GENERALIZED TRIANGULAR MATRIX RINGS  

Chun, Jang Ho (Dept. of Math. Yeungnam University)
Park, June Won (Dept. of Undeclared Majors Kyungil University)
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Abstract
For a generalized triangular matrix ring $$T=\[\array{R\;M\\0\;S}]$$, 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 are compositions of an inner homomorphism and an extended or a twisted homomorphism.
Keywords
automorphisms; homomorphisms; derivations; generalized triangular matrix rings;
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