Abelian Group Theory: Proceedings of the 2nd New Mexico State University Conference, Held at Las Cruces, New Mexico, December 9-12, 1976David M. Arnold, Roger H. Hunter, Elbert Walker |
Contents
The Structure Theory of Mixed Abelian Groups | 1 |
Decomposition Bases and Ulms Theorem | 39 |
Algebraic Systems Related to Abelian Groups | 57 |
Copyright | |
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Abelian Group Theory: Proceedings of the 2nd New Mexico State University ... D. Arnold,R. Hunter,E. Walker No preview available - 1977 |
Common terms and phrases
A-modules A₁ absolute retract algebraic assume b₁ balanced projective cardinality compact complete composition series contains Corollary countable decomposition basis defined denote direct sum discrete valuation ring element embedding endomorphism ring exact sequence extension FGC-rings finite rank free abelian groups free group functor group G groups of finite height matrix hence homomorphism induced infinite injective integer isomorphism K-free K₁ L-structures Lemma limit ordinal Math maximal ideal mixed groups morphism n-split nice non-zero p-groups prime problem projective modules Proof Proposition proved pure subgroup result Richman satisfies sheaf strict Ulm stripping function structure submodule subset subspace sum of cyclics theory torsion groups torsion subgroup torsion-free groups torsion-free rank totally projective tree Ulm invariants Ulm valuations valuated groups valuated module valued vector space vector space W₁ Walker Warfield module α α