Addendum: Class number of an Abelian group. (Q2456211)
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| Language | Label | Description | Also known as |
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| English | Addendum: Class number of an Abelian group. |
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Addendum: Class number of an Abelian group. (English)
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17 October 2007
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In this Addendum to the article reviewed above [\textit{T. G. Faticoni}, J. Algebra 314, No. 2, 978-1008 (2007; Zbl 1132.20032)] the author shows that a problem in the direct sum decompositions of torsion-free finite rank groups implies several important problems of number theory.
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torsion-free Abelian groups of finite rank
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groups of units
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endomorphism rings
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algebraic number fields
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direct decompositions
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unique decompositions
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direct sums
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direct sum decompositions
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class numbers
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power cancellations
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categories of finitely generated projective modules
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Mayer-Vietoris sequences
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unique factorizations
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sequences of rational primes
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