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An elementary exact sequence of modules with an application to tiled orders

Yosuke Sakai (2008)

Colloquium Mathematicae

Let m ≥ 2 be an integer. By using m submodules of a given module, we construct a certain exact sequence, which is a well known short exact sequence when m = 2. As an application, we compute a minimal projective resolution of the Jacobson radical of a tiled order.

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