Abelian group theory: proceedings of the 2nd New Mexico State University Conference, held at Las Cruces, New Mexico, December 9-12, 1976 / D. Arnold, R. Hunter, and E. Walker

Auteur secondaire : Hunter, Roger H. - Editeur scientifique ; Walker, Elbert A. (1930-) - Editeur scientifique ; Arnold, David Marion (1938-) - Editeur scientifiqueType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 616Langue: anglaisÉditeur: Berlin : Springer-Verlag, 1977 ISBN: 9783540370697 Note: Table of Contents: David Arnold, Roger Hunter and Elbert Walker, Preface (p. v); List of participants (pp. vii-ix); Robert B. Warfield, Jr., The structure of mixed abelian groups (pp. 1–38); Robert O. Stanton, Decomposition bases and Ulm's theorem (pp. 39–56); Laurel Rogers, The structure of p-trees: algebraic systems related to abelian groups (pp. 57–72); Fred Richman, A guide to valuated groups (pp. 73–86); Roger Hunter, Fred Richman and Elbert Walker, Warfield modules (pp. 87–123); Yonina S. Cooper, Finite valuated groups (pp. 124–139); Paul Hill, Criteria for freeness in groups and valuated vector spaces (pp. 140–157); Laszlo Fuchs, Subfree valued vector spaces (pp. 158–167); E. L. Lady, On classifying torsion free modules over discrete valuation rings (pp. 168–172); Mary Turgi, A sheaf-theoretic interpretation of the Kuroš theorem (pp. 173–196); David M. Arnold, Genera and direct sum decompositions of torsion free modules (pp. 197–218); J. D. Reid, Quasi-pure injectivity and quasi-pure-projectivity (pp. 219–227); K. Benabdallah, R. Bradley and A. Laroche, Sur les groupes quasi-p-nets injectifs et projectifs (pp. 228–239); R. J. Nunke, Whitehead's problem (pp. 240–250); Paul C. Eklof, Methods of logic in abelian group theory (pp. 251–269); Edward R. Fisher, Abelian structures. I (pp. 270–322); Alan Mekler, The number of K-free abelian groups and the size of Ext (pp. 323–331); Jutta Hausen, The Jacobson radical of some endomorphism rings (pp. 332–336); Wolfgang Liebert, Ulm valuations and co-valuations on torsion-complete p-groups (pp. 337–353); Warren May and Elias Toubassi, A result on problem 87 of L. Fuchs (pp. 354–367); Carol L. Walker, Local-quasi-endomorphism rings of rank one mixed abelian groups (pp. 368–378); H. K. Farahat, Homological dimension and abelian groups (pp. 379–383); Adolf Mader, A Galois correspondence in abelian groups (pp. 384–391); R. Mines, A different completion functor (pp. 392–398); Alfred W. Hales, Analogues of the stacked bases theorem (pp. 399–405); Roger Wiegand and Sylvia Wiegand, Commutative rings whose finitely generated modules are direct sums of cyclics (pp. 406–423). Sujets MSC: 20-06 Group theory and generalizations -- Proceedings, conferences, collections, etc En-ligne: Springerlink

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Table of Contents: David Arnold, Roger Hunter and Elbert Walker, Preface (p. v); List of participants (pp. vii-ix); Robert B. Warfield, Jr., The structure of mixed abelian groups (pp. 1–38); Robert O. Stanton, Decomposition bases and Ulm's theorem (pp. 39–56); Laurel Rogers, The structure of p-trees: algebraic systems related to abelian groups (pp. 57–72); Fred Richman, A guide to valuated groups (pp. 73–86); Roger Hunter, Fred Richman and Elbert Walker, Warfield modules (pp. 87–123); Yonina S. Cooper, Finite valuated groups (pp. 124–139); Paul Hill, Criteria for freeness in groups and valuated vector spaces (pp. 140–157); Laszlo Fuchs, Subfree valued vector spaces (pp. 158–167); E. L. Lady, On classifying torsion free modules over discrete valuation rings (pp. 168–172); Mary Turgi, A sheaf-theoretic interpretation of the Kuroš theorem (pp. 173–196); David M. Arnold, Genera and direct sum decompositions of torsion free modules (pp. 197–218); J. D. Reid, Quasi-pure injectivity and quasi-pure-projectivity (pp. 219–227); K. Benabdallah, R. Bradley and A. Laroche, Sur les groupes quasi-p-nets injectifs et projectifs (pp. 228–239); R. J. Nunke, Whitehead's problem (pp. 240–250); Paul C. Eklof, Methods of logic in abelian group theory (pp. 251–269); Edward R. Fisher, Abelian structures. I (pp. 270–322); Alan Mekler, The number of K-free abelian groups and the size of Ext (pp. 323–331); Jutta Hausen, The Jacobson radical of some endomorphism rings (pp. 332–336); Wolfgang Liebert, Ulm valuations and co-valuations on torsion-complete p-groups (pp. 337–353); Warren May and Elias Toubassi, A result on problem 87 of L. Fuchs (pp. 354–367); Carol L. Walker, Local-quasi-endomorphism rings of rank one mixed abelian groups (pp. 368–378); H. K. Farahat, Homological dimension and abelian groups (pp. 379–383); Adolf Mader, A Galois correspondence in abelian groups (pp. 384–391); R. Mines, A different completion functor (pp. 392–398); Alfred W. Hales, Analogues of the stacked bases theorem (pp. 399–405); Roger Wiegand and Sylvia Wiegand, Commutative rings whose finitely generated modules are direct sums of cyclics (pp. 406–423).

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