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Tag Archives: krull-schmidt
Krull-Schmidt Theorem
Here, we will prove that the process of decomposing is unique, given that M is noetherian and artinian. Again, R is a ring, possibly non-commutative. Definition. A decomposition of an R-module M is an expression for non-zero modules An R-module M is said … Continue reading
Posted in Notes
Tagged indecomposable modules, krull-schmidt, local rings, matrix rings, splitting lemma, unique factorisation
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Mathematics and Such 