Uniqueness of uniform decomposition relative to a torsion theory

As a consequence of classical Krull-Remak-Schmidt Theorem, a uniqueness theorem for finite direct sum decomposition into relative uniform modules with local endomorphism rings in torsion theories is reviewed.

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  • Anderson, F. and Fuller, K. Rings and categories of modules, springer-verlag, 1992.
  • Bland, P. E. Topics in torsion theory, Wiley-VCH, 1998.