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Softcover ISBN:  9780821851784 
Product Code:  CONM/171 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
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Product Code:  CONM/171.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821851784 
eBook ISBN:  9780821877623 
Product Code:  CONM/171.B 
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Book DetailsContemporary MathematicsVolume: 171; 1994; 432 ppMSC: Primary 20; 03; 16
This volume contains the proceedings of a conference on abelian groups held in August 1993 at Oberwolfach. The conference brought together fortyseven participants from all over the world and from a range of mathematical areas. Experts from model theory, set theory, noncommutative groups, module theory, and computer science discussed problems in their fields that relate to abelian group theory. This book provides a window on the frontier of this active area of research.
ReadershipResearch mathematicians.

Table of Contents

Articles

C. Vinsonhaler — Richard Scott Pierce [ MR 1293128 ]

Ladislav Bican — On $B_2$groups [ MR 1293129 ]

E. A. Blagoveshchenskaya and A. Mader — Decompositions of almost completely decomposable abelian groups [ MR 1293130 ]

Andreas Blass — On the divisible parts of quotient groups [ MR 1293131 ]

W. D. Burgess — Minimal rings, central idempotents and the Pierce sheaf [ MR 1293132 ]

A. L. S. Corner and B. Goldsmith — On endomorphisms and automorphisms of some pure subgroups of the BaerSpecker group [ MR 1293133 ]

Paul C. Eklof and Saharon Shelah — A combinatorial principle equivalent to the existence of nonfree Whitehead groups [ MR 1293134 ]

Steve Todd Files — Endomorphisms of local Warfield groups [ MR 1293135 ]

Alexander A. Fomin — Finitely presented modules over the ring of universal numbers [ MR 1293136 ]

L. Fuchs — A survey of Butler groups of infinite rank [ MR 1293137 ]

L. Fuchs and K. M. Rangaswamy — Unions of chains of Butler groups [ MR 1293138 ]

R. G. Göbel and R. M. Shortt — Some torsionfree groups arising in measure theory [ MR 1293139 ]

H. Pat Goeters, William Ullery and Charles Vinsonhaler — Numerical invariants for a class of Butler groups [ MR 1293140 ]

K. R. Goodearl — $K_0$ of regular rings with bounded index of nilpotence [ MR 1293141 ]

Darren Holley and Roger Wiegand — Torsion in quotients of the multiplicative group of a number field [ MR 1293142 ]

Patrick Keef — On $p^\alpha $injective abelian groups [ MR 1293143 ]

FranzViktor Kuhlmann — Abelian groups with contractions. I [ MR 1293144 ]

Reiff S. Lafleur — Typesets and cotypesets of finiterank torsionfree abelian groups [ MR 1293145 ]

A. Mader, O. Mutzbauer and K. M. Rangaswamy — A generalization of Butler groups [ MR 1293146 ]

Warren May — Endomorphisms over incomplete discrete valuation domains [ MR 1293147 ]

Menachem Magidor and Saharon Shelah — ${\rm Bext}^2(G,T)$ can be nontrivial, even assuming GCH [ MR 1293148 ]

R. Mines, C. Vinsonhaler and W. J. Wickless — Representations and duality [ MR 1293149 ]

Otto Mutzbauer and Elias Toubassi — Extending a splitting criterion on mixed modules [ MR 1293150 ]

John D. O’Neill — Direct summands of $\mathbf {Z}^\kappa $ for large $\kappa $ [ MR 1293151 ]

Agnes T. Paras — Abelian groups as Noetherian modules over their endomorphism rings [ MR 1293152 ]

Fred Richman — Isomorphism of Butler groups at a prime [ MR 1293153 ]

Claus Michael Ringel — The braid group action on the set of exceptional sequences of a hereditary Artin algebra [ MR 1293154 ]

Christel Rotthaus and Sylvia Wiegand — Direct limits of twodimensional prime spectra [ MR 1293155 ]

Phillip Schultz — When is an abelian $p$group determined by the Jacobson radical of its endomorphism ring? [ MR 1293156 ]

Jan Trlifaj — Similarities and differences between abelian groups and modules over nonperfect rings [ MR 1293157 ]

W. J. Wickless — A functor from mixed groups to torsionfree groups [ MR 1293158 ]

Peter D. Yom — A characterization of a class of Butler groups. II [ MR 1293159 ]


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This volume contains the proceedings of a conference on abelian groups held in August 1993 at Oberwolfach. The conference brought together fortyseven participants from all over the world and from a range of mathematical areas. Experts from model theory, set theory, noncommutative groups, module theory, and computer science discussed problems in their fields that relate to abelian group theory. This book provides a window on the frontier of this active area of research.
Research mathematicians.

Articles

C. Vinsonhaler — Richard Scott Pierce [ MR 1293128 ]

Ladislav Bican — On $B_2$groups [ MR 1293129 ]

E. A. Blagoveshchenskaya and A. Mader — Decompositions of almost completely decomposable abelian groups [ MR 1293130 ]

Andreas Blass — On the divisible parts of quotient groups [ MR 1293131 ]

W. D. Burgess — Minimal rings, central idempotents and the Pierce sheaf [ MR 1293132 ]

A. L. S. Corner and B. Goldsmith — On endomorphisms and automorphisms of some pure subgroups of the BaerSpecker group [ MR 1293133 ]

Paul C. Eklof and Saharon Shelah — A combinatorial principle equivalent to the existence of nonfree Whitehead groups [ MR 1293134 ]

Steve Todd Files — Endomorphisms of local Warfield groups [ MR 1293135 ]

Alexander A. Fomin — Finitely presented modules over the ring of universal numbers [ MR 1293136 ]

L. Fuchs — A survey of Butler groups of infinite rank [ MR 1293137 ]

L. Fuchs and K. M. Rangaswamy — Unions of chains of Butler groups [ MR 1293138 ]

R. G. Göbel and R. M. Shortt — Some torsionfree groups arising in measure theory [ MR 1293139 ]

H. Pat Goeters, William Ullery and Charles Vinsonhaler — Numerical invariants for a class of Butler groups [ MR 1293140 ]

K. R. Goodearl — $K_0$ of regular rings with bounded index of nilpotence [ MR 1293141 ]

Darren Holley and Roger Wiegand — Torsion in quotients of the multiplicative group of a number field [ MR 1293142 ]

Patrick Keef — On $p^\alpha $injective abelian groups [ MR 1293143 ]

FranzViktor Kuhlmann — Abelian groups with contractions. I [ MR 1293144 ]

Reiff S. Lafleur — Typesets and cotypesets of finiterank torsionfree abelian groups [ MR 1293145 ]

A. Mader, O. Mutzbauer and K. M. Rangaswamy — A generalization of Butler groups [ MR 1293146 ]

Warren May — Endomorphisms over incomplete discrete valuation domains [ MR 1293147 ]

Menachem Magidor and Saharon Shelah — ${\rm Bext}^2(G,T)$ can be nontrivial, even assuming GCH [ MR 1293148 ]

R. Mines, C. Vinsonhaler and W. J. Wickless — Representations and duality [ MR 1293149 ]

Otto Mutzbauer and Elias Toubassi — Extending a splitting criterion on mixed modules [ MR 1293150 ]

John D. O’Neill — Direct summands of $\mathbf {Z}^\kappa $ for large $\kappa $ [ MR 1293151 ]

Agnes T. Paras — Abelian groups as Noetherian modules over their endomorphism rings [ MR 1293152 ]

Fred Richman — Isomorphism of Butler groups at a prime [ MR 1293153 ]

Claus Michael Ringel — The braid group action on the set of exceptional sequences of a hereditary Artin algebra [ MR 1293154 ]

Christel Rotthaus and Sylvia Wiegand — Direct limits of twodimensional prime spectra [ MR 1293155 ]

Phillip Schultz — When is an abelian $p$group determined by the Jacobson radical of its endomorphism ring? [ MR 1293156 ]

Jan Trlifaj — Similarities and differences between abelian groups and modules over nonperfect rings [ MR 1293157 ]

W. J. Wickless — A functor from mixed groups to torsionfree groups [ MR 1293158 ]

Peter D. Yom — A characterization of a class of Butler groups. II [ MR 1293159 ]