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The sequentially pure projective dimension of global groups with decomposition bases

✍ Scribed by Charles Megibben; William Ullery

Book ID: 104152709
Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 332 KB
Volume: 187
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(03)00147-6

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✦ Synopsis

The sequentially pure projective dimension of a global group with a decomposition basis is computed in terms of a structural property that generalizes the earlier treatment of p-local torsion groups by Fuchs and Hill. As a corollary, it is established that a global group with a decomposition basis and cardinality ℵn, for some nonnegative integer n, has sequentially pure projective dimension not exceeding n.

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