Generalized Module Homomorphisms of Triangular Matrix Rings of Order Three

Let T,U and V be rings with identity and M be a unitary (T,U)-bimodule, N be a unitary (U, V )- bimodule, D be a unitary (T, V )-bimodule . We characterize homomorphisms and isomorphisms of the generalized matrix ring Γ =  T M D 0 U N 0 0 V .

• Jianmin Xing

• Generalized module homomorphism
• ring homomorphism
• isomorphisms
• triangular matrix rings.

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