Ebook: Abelian Group Theory: Proceedings of the 2nd New Mexico State University Conference, Held at Las Cruces, New Mexico, December 9–12, 1976

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Content:
Front Matter....Pages -
The structure of mixed abelian groups....Pages 1-38
Decomposition bases and Ulm’s theorem....Pages 39-56
The structure of p-trees: Algebraic systems related to abelian groups....Pages 57-72
A Guide to valuated groups....Pages 73-86
Warfield modules....Pages 87-123
Finite valuated groups....Pages 124-139
Criteria for freeness in groups and valuated vector spaces....Pages 140-157
Subfree valued vector spaces....Pages 158-167
On classifying torsion free modules over discrete valuation rings....Pages 168-172
A sheaf - Theoretic interpretation of the kuro? theorem....Pages 173-196
Genera and direct sum decompositions of torsion free modules....Pages 197-218
Quasi-pure-injectivity and quasi-pure projectivity....Pages 219-227
Sur les groupes quasi-p-nets injectifs et projectifs....Pages 228-239
Whitehead’s problem....Pages 240-250
Methods of logic in abelian group theory....Pages 251-269
Abelian structures I....Pages 270-322
The number of ? — Free abelian groups and the size of Ext....Pages 323-331
The Jacobson radical of some endomorphism rings....Pages 332-336
Ulm valuations and co-valuations on torsion-complete p-groups....Pages 337-353
A result on problem 87 of L. Fuchs....Pages 354-367
Local-quasi-endomorphism rings of rank one mixed abelian groups....Pages 368-378
Homological dimension and abelian groups....Pages 379-383
A galois correspondence in abelian groups....Pages 384-391
A different completion functor....Pages 392-398
Analogues of the Stacked Bases Theorem....Pages 399-405
Commutative rings whose finitely generated modules are direct sums of cyclics....Pages 406-423

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Content:
Front Matter....Pages -
The structure of mixed abelian groups....Pages 1-38
Decomposition bases and Ulm’s theorem....Pages 39-56
The structure of p-trees: Algebraic systems related to abelian groups....Pages 57-72
A Guide to valuated groups....Pages 73-86
Warfield modules....Pages 87-123
Finite valuated groups....Pages 124-139
Criteria for freeness in groups and valuated vector spaces....Pages 140-157
Subfree valued vector spaces....Pages 158-167
On classifying torsion free modules over discrete valuation rings....Pages 168-172
A sheaf - Theoretic interpretation of the kuro? theorem....Pages 173-196
Genera and direct sum decompositions of torsion free modules....Pages 197-218
Quasi-pure-injectivity and quasi-pure projectivity....Pages 219-227
Sur les groupes quasi-p-nets injectifs et projectifs....Pages 228-239
Whitehead’s problem....Pages 240-250
Methods of logic in abelian group theory....Pages 251-269
Abelian structures I....Pages 270-322
The number of ? — Free abelian groups and the size of Ext....Pages 323-331
The Jacobson radical of some endomorphism rings....Pages 332-336
Ulm valuations and co-valuations on torsion-complete p-groups....Pages 337-353
A result on problem 87 of L. Fuchs....Pages 354-367
Local-quasi-endomorphism rings of rank one mixed abelian groups....Pages 368-378
Homological dimension and abelian groups....Pages 379-383
A galois correspondence in abelian groups....Pages 384-391
A different completion functor....Pages 392-398
Analogues of the Stacked Bases Theorem....Pages 399-405
Commutative rings whose finitely generated modules are direct sums of cyclics....Pages 406-423
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