Resumen de On Global Abelian k-Groups

Charles Meggiben, William Ullery

• 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