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This expository monograph was written for three reasons. Firstly, we wanted to present the solution to a problem posed by Wolfgang Krull in 1932 [Krull 32]. He asked whether what we now call the "Krull-Schmidt Theorem" holds for ar tinian modules. The problem remained open for 63 years: its solution, a negative answer to Krull's question, was published only in 1995 (see [Facchini, Herbera, Levy and Vamos]). Secondly, we wanted to present the answer to a question posed by Warfield in 1975 [Warfie

Who reads Module Theory: Endomorphism rings and direct sum decompositions in some classes of modules (Progress in Mathematics, 167)?

Author

Alberto Facchini

Publisher

Birkhäuser Boston

Published

2013

Language

EN

ISBN

9783764359089

Category

mathematics

Subjects

Mathematics, Stem

Updated

2026-03-25