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Abelian group theory and related topics / [electronic resource] Conference on Abelian Groups, August 1-7, 1993, Oberwolfach, Germany ; R�udiger G�obel, Paul Hill, Wolfgang Liebert, editors.

By: Conference on Abelian Groups (1993 : Oberwolfach, Germany)Contributor(s): G�obel, R. (R�udiger), 1940- | Hill, Paul, 1933 May 8- | Liebert, Wolfgang, 1936-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 171.Publication details: Providence, R.I. : American Mathematical Society, c1994Description: 1 online resource (xiv, 432 p.)ISBN: 9780821877623 (online)Subject(s): Abelian groups -- CongressesAdditional physical formats: Abelian group theory and related topics /DDC classification: 512/.2 LOC classification: QA180 | .C66 1993Online resources: Contents | Contents

Contents:

Richard Scott Pierce / C. Vinsonhaler -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01758 On $B_2$-groups / Ladislav Bican -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01760 Decompositions of almost completely decomposable abelian groups / E. A. Blagoveshchenskaya and A. Mader -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01761 On the divisible parts of quotient groups / Andreas Blass -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01762 Minimal rings, central idempotents and the Pierce sheaf / W. D. Burgess -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01763 On endomorphisms and automorphisms of some pure subgroups of the Baer-Specker group / A. L. S. Corner and B. Goldsmith -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01764 A combinatorial principle equivalent to the existence of non-free Whitehead groups / Paul C. Eklof and Saharon Shelah -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01765 Endomorphisms of local Warfield groups / Steve Todd Files -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01766 Finitely presented modules over the ring of universal numbers / Alexander A. Fomin -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01767 A survey of Butler groups of infinite rank / L. Fuchs -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01768 Unions of chains of Butler groups / L. Fuchs and K. M. Rangaswamy -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01769 Some torsion-free groups arising in measure theory / R. G. G�obel and R. M. Shortt -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01770 Numerical invariants for a class of Butler groups / H. Pat Goeters, William Ullery and Charles Vinsonhaler -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01771 $K_0$ of regular rings with bounded index of nilpotence / K. R. Goodearl -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01772 Torsion in quotients of the multiplicative group of a number field / Darren Holley and Roger Wiegand -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01773 On $p^\alpha $-injective abelian groups / Patrick Keef -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01774 Abelian groups with contractions. I / Franz-Viktor Kuhlmann -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01775 Typesets and cotypesets of finite-rank torsion-free abelian groups / Reiff S. Lafleur -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01776 A generalization of Butler groups / A. Mader, O. Mutzbauer and K. M. Rangaswamy -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01777 Endomorphisms over incomplete discrete valuation domains / Warren May -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01779 ${\rm Bext}^2(G,T)$ can be nontrivial, even assuming GCH / Menachem Magidor and Saharon Shelah -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01778 Representations and duality / R. Mines, C. Vinsonhaler and W. J. Wickless -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01780 Extending a splitting criterion on mixed modules / Otto Mutzbauer and Elias Toubassi -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01782 Direct summands of $\mathbf {Z}^\kappa $ for large $\kappa $ / John D. O'Neill -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01783 Abelian groups as Noetherian modules over their endomorphism rings / Agnes T. Paras -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01784 Isomorphism of Butler groups at a prime / Fred Richman -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01785 The braid group action on the set of exceptional sequences of a hereditary Artin algebra / Claus Michael Ringel -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01786 Direct limits of two-dimensional prime spectra / Christel Rotthaus and Sylvia Wiegand -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01787 When is an abelian $p$-group determined by the Jacobson radical of its endomorphism ring? / Phillip Schultz -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01788 Similarities and differences between abelian groups and modules over non-perfect rings / Jan Trlifaj -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01789 A functor from mixed groups to torsion-free groups / W. J. Wickless -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01792 A characterization of a class of Butler groups. II / Peter D. Yom -- http://www.ams.org/conm/171/ http://dx.doi.org/10.1090/conm/171/01793

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Includes bibliographical references.

Richard Scott Pierce / C. Vinsonhaler -- On $B_2$-groups / Ladislav Bican -- Decompositions of almost completely decomposable abelian groups / E. A. Blagoveshchenskaya and A. Mader -- On the divisible parts of quotient groups / Andreas Blass -- Minimal rings, central idempotents and the Pierce sheaf / W. D. Burgess -- On endomorphisms and automorphisms of some pure subgroups of the Baer-Specker group / A. L. S. Corner and B. Goldsmith -- A combinatorial principle equivalent to the existence of non-free Whitehead groups / Paul C. Eklof and Saharon Shelah -- Endomorphisms of local Warfield groups / Steve Todd Files -- Finitely presented modules over the ring of universal numbers / Alexander A. Fomin -- A survey of Butler groups of infinite rank / L. Fuchs -- Unions of chains of Butler groups / L. Fuchs and K. M. Rangaswamy -- Some torsion-free groups arising in measure theory / R. G. G�obel and R. M. Shortt -- Numerical invariants for a class of Butler groups / H. Pat Goeters, William Ullery and Charles Vinsonhaler -- $K_0$ of regular rings with bounded index of nilpotence / K. R. Goodearl -- Torsion in quotients of the multiplicative group of a number field / Darren Holley and Roger Wiegand -- On $p^\alpha $-injective abelian groups / Patrick Keef -- Abelian groups with contractions. I / Franz-Viktor Kuhlmann -- Typesets and cotypesets of finite-rank torsion-free abelian groups / Reiff S. Lafleur -- A generalization of Butler groups / A. Mader, O. Mutzbauer and K. M. Rangaswamy -- Endomorphisms over incomplete discrete valuation domains / Warren May -- ${\rm Bext}^2(G,T)$ can be nontrivial, even assuming GCH / Menachem Magidor and Saharon Shelah -- Representations and duality / R. Mines, C. Vinsonhaler and W. J. Wickless -- Extending a splitting criterion on mixed modules / Otto Mutzbauer and Elias Toubassi -- Direct summands of $\mathbf {Z}^\kappa $ for large $\kappa $ / John D. O'Neill -- Abelian groups as Noetherian modules over their endomorphism rings / Agnes T. Paras -- Isomorphism of Butler groups at a prime / Fred Richman -- The braid group action on the set of exceptional sequences of a hereditary Artin algebra / Claus Michael Ringel -- Direct limits of two-dimensional prime spectra / Christel Rotthaus and Sylvia Wiegand -- When is an abelian $p$-group determined by the Jacobson radical of its endomorphism ring? / Phillip Schultz -- Similarities and differences between abelian groups and modules over non-perfect rings / Jan Trlifaj -- A functor from mixed groups to torsion-free groups / W. J. Wickless -- A characterization of a class of Butler groups. II / Peter D. Yom --