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pcpl TABLE OF CONTENTS
Algebraic Systems Related to Abelian Groups
A Guide to Valuated Groups
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absolute retract algebraic Amer Ann(T assume balanced projective compact composition series contains Corollary countable decomposition basis defined denote direct sum direct summand discrete valuation ring divisible element embedding endomorphism ring equivalence class exact sequence extension FGC-rings finite rank free abelian groups free group Fuchs functor given group G groups of finite height matrix hence homomorphism induced infinite injective isomorphism K-free L-structures Lemma Let G limit ordinal Math maximal ideal mixed groups morphism n-split nice non-zero p-groups prime problem projective modules Proof Proposition proved pure subgroup pure-injective R-module result Richman satisfies sheaf simply presented groups strict Ulm stripping function structure submodule subset subspace sum of cyclics Suppose theory topology torsion groups torsion subgroup torsion-free groups torsion-free rank totally projective tree Ulm invariants Ulm valuations unique valuated groups valuated module valued vector space vector space Walker Warfield module