Subgroups of Finite Direct Sums of Z[1/n]

• Autores: David M. Arnold
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 4, 2008, págs. 997-1008
• Idioma: inglés
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• Resumen

  • Let C(n) denote the class of subgroups of finite direct sums of Z[1/n] for a positive integer n. There is a category equivalence from the isomorphism at n category of C(n) to the class of n-local torsion-free abelian groups of finite rank. Included are a number of examples and a classification of groups in C(n) with rank < 4 for the case that n is a prime number