Triangular matrix ring

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In algebra, a triangular matrix ring is a ring constructed from two rings and a bimodule.

Definition[edit]

If T and U are rings and M is a U-T-bimodule, then the triangular matrix ring (T 0
M U
) consists of 2 by 2 matrices (t 0
m u
) with t ∈ T, m ∈ M, u ∈ U, with ordinary matrix multiplication and division.

References[edit]