On Global Abelian k-Groups

• Autores: Charles Meggiben, William Ullery
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 3, 2005, págs. 675-692
• Idioma: inglés
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• Resumen

  • ABSTRACT. The class of global k-groups is an abundant class of abelian groups that contains, but is not restricted to, all torsion groups, torsion-free separable groups, and mixed groups with decomposition bases. Our main theorem is that a global k-group of cardinality Àn (for some nonnegative integer n) has sequentially pure projective dimension at most n. This was known previously only in the special case where n=1