Almost Free Modules: Set-theoretic Methods (North-Holland by P. C. Eklof,A. H. Mekler

By P. C. Eklof,A. H. Mekler

This e-book offers a entire exposition of using set-theoretic equipment in abelian workforce conception, module thought, and homological algebra, together with purposes to Whitehead's challenge, the constitution of Ext and the life of almost-free modules over non-perfect jewelry. This moment version is totally revised and udated to incorporate significant advancements within the decade because the first version. between those are purposes to cotorsion theories and covers, together with an evidence of the Flat conceal Conjecture, in addition to using Shelah's pcf idea to constuct nearly unfastened teams. As with the 1st version, the publication is essentially self-contained, and designed to be available to either graduate scholars and researchers in either algebra and good judgment. they'll locate there an creation to robust concepts which they might locate valuable of their personal work.

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