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Module Theory

Module Theory

Endomorphism rings and direct sum decompositions in some classes of modules

by Alberto Facchini
Hardback
Publication Date: 16/06/1998

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The purpose in writing this expository monograph has been three-fold. First, the author set out to present the solution of a problem posed by Wolfgang krull in 1932. He asked whether what is now called the "Krull-Schmidt Theorem" holds for artinian modules. Secondly, the author presents the answer to a question posed by Warfield in 1975, namely, whether the Krull-Schmidt Theorem holds for serial modules. The authors third incentive focuses on the fact that the Krull-Schmidt theorem holds for some, not all, classes of modules. Apart form these issues, the book addresses various topics in module theory and ring theory, some now considered classical and others more specialized. Open problems conclude the work.
ISBN:
9783764359089
9783764359089
Category:
Algebra
Format:
Hardback
Publication Date:
16-06-1998
Language:
English
Publisher:
Birkhauser Verlag AG
Country of origin:
Switzerland
Pages:
288
Dimensions (mm):
235x155x19mm
Weight:
0.66kg

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