Abelian Group Theory: Proceedings of the 2nd New Mexico State University Conference, held at LasCruces, New Mexico, December 9 - 12, 1976D. Arnold, R. Hunter, E. Walker |
Contents
The Structure Theory of Mixed Abelian Groups | 37 |
Algebraic Systems Related to Abelian Groups | 57 |
A Guide to Valuated Groups | 73 |
Warfield Modules | 80 |
by Roger Hunter Fred Richman and Elbert Walker | 87 |
Finite Valuated Groups | 124 |
Criteria for Freeness in Groups and Valuated Vector Spaces | 140 |
Subfree Valued Vector Spaces | 158 |
Quasipureinjectivity and Quasipureprojectivity | 219 |
Sur les Groupes Quasipnets Injectifs et Projectifs | 229 |
Whiteheads Problem | 240 |
Methods of Logic in Abelian Group Theory | 251 |
Abelian Structures I | 270 |
The Number of Kfree Abelian Groups and the Size of | 323 |
The Jacobson Radical of Some Endomorphism Rings | 332 |
332 | 424 |
On Classifying Torsion Free Modules over Discrete Valuation Rings | 168 |
Genera and Direct Sum Decompositions of Torsion Free Modules | 197 |
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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 Bézout domain cardinality co-valuations compact composition series Corollary countable decomposition basis defined denote direct sum discrete valuation ring element embedding endomorphism ring exact sequence exists extension FGC-rings finite rank free abelian groups free group functor groups of finite height matrix hence homomorphism indecomposable induced infinite injective integer isomorphism 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 result Richman satisfies sheaf strict Ulm submodule subset subspace sum of cyclics Theorem theory torsion subgroup torsion-free groups torsion-free rank totally projective Ulm invariants Ulm valuations valuated groups valuated module valued vector space vector space Walker Warfield module x₁ α α