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A note on directly indecomposable algebras

✍ Scribed by Stanley Burris

Book ID
112760276
Publisher
Springer
Year
1982
Tongue
English
Weight
60 KB
Volume
14
Category
Article
ISSN
0002-5240

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We investigate the set of those integers n for which directly indecomposable groups of order n exist. For even n such groups are easily constructed. In contrast, we show that the density of the set of odd numbers with this property is zero. For each n we define a graph whose connected components des