ABSTRACT

With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences. The book illustrates a new way of studying these groups while still honoring the rich history of unique direct sum decompositions of groups

chapter 1|18 pages

Notation and Preliminary Results

chapter 2|28 pages

Motivation by Example

chapter 3|22 pages

Local Isomorphism Is Isomorphism

chapter 4|38 pages

Commuting Endomorphisms

chapter 5|32 pages

Refinement Revisited

chapter 6|16 pages

Baer Splitting Property

chapter 7|22 pages

J -Groups, L-Groups, and S-Groups

chapter 8|42 pages

Gabriel Filters

chapter 9|38 pages

Endomorphism Modules