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

Volume 113 / 2008

Yosuke Sakai Colloquium Mathematicum 113 (2008), 307-318 MSC: Primary 16E05; Secondary 16S50. DOI: 10.4064/cm113-2-11


Let $m \ge 2$ 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.


  • Yosuke SakaiInstitute of Mathematics
    University of Tsukuba
    Tsukuba Ibaraki, 305-8571 Japan

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