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The Krull–Schmidt Theorem in the Case Two

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Semilocal Categories and Modules with Semilocal Endomorphism Rings

Part of the book series: Progress in Mathematics ((PM,volume 331))

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Abstract

In the first part of this chapter, we will describe what occurs if in the Krull– Schmidt–Azumaya theorem (Theorem 4.34), instead of considering modules with local endomorphism rings, that is, endomorphism rings with one maximal ideal, we consider modules whose endomorphism rings have two maximal ideals.

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Facchini, A. (2019). The Krull–Schmidt Theorem in the Case Two. In: Semilocal Categories and Modules with Semilocal Endomorphism Rings. Progress in Mathematics, vol 331. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-23284-9_10

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