Module theory : endomorphism rings and direct sum decompositions in some classes of modules /
The purpose of this expository monograph is three-fold. First, the solution of a problem posed by Wolfgang Krull in 1932 is presented. He asked whether what is now called the 'Krull-Schmidt Theorem' holds for artinian modules. A negative answer was published only in 1995 by Facchini, Herbe...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Basel :
Springer,
[2012]
|
| Series: | Modern Birkhäuser classics.
|
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | The purpose of this expository monograph is three-fold. First, the solution of a problem posed by Wolfgang Krull in 1932 is presented. He asked whether what is now called the 'Krull-Schmidt Theorem' holds for artinian modules. A negative answer was published only in 1995 by Facchini, Herbera, Levy and Vámos. Second, the answer to a question posed by Warfield in 1975, namely, whether the Krull-Schmidt-Theorem holds for serial modules, is described. Facchini published a negative answer in 1996. |
|---|---|
| Physical Description: | 1 online resource (xiii, 285 pages) |
| ISBN: | 9783034803038 (electronic bk.) 3034803036 (electronic bk.) |