简介
Summary:
Publisher Summary 1
Papers from the August 1993 conference. Experts from model theory, set theory, noncommutative groups, module theory, and computer science discuss problems in those fields that relate to abelian group theory. They cover topics such as decomposable abelian groups, the Baer-Specker group, endomorphisms, Butler groups, torsion, and mixed groups. Lacks an index. Annotation copyright Book News, Inc. Portland, Or.
目录
Table Of Contents:
Preface xi
Conference Participants xiii
Richard Scott Pierce 1(12)
C. Vinsonhaler
On B2-Groups 13(8)
L. Bican
Decompositions of Almost Completely Decomposable Abelian Groups 21(16)
E. A. Blagoveshchenskaya
A. Mader
On the Divisible Parts of Quotient Groups 37(14)
A. Blass
Minimal Rings, Central Idempotents and the Pierce Sheaf 51(18)
W. D. Burgess
On Endomorphisms and Automorphisms of Some Pure Subgroups of the Baer-Specker Group 69(10)
A. L. S. Corner
B. Goldsmith
A Combinatorial Principle Equivalent to the Existence of Non-Free Whitehead Groups 79(20)
P. C. Eklof
S. Shelah
Endomorphisms of Local Warfield Groups 99(10)
S. T. Files
Finitely Presented Modules Over the Ring of Universal Numbers 109(12)
A. A. Fomin
A Survey of Butler Groups of Infinite Rank 121(20)
L. Fuchs
Unions of Chains of Butler Groups 141(6)
L. Fuchas
K. M. Rangaswamy
Some Torsion-Free Groups Arising in Measure Theory 147(12)
R. G. Gobel
R. M. Shortt
Numerical Invariants for a Class of Butler Groups 159(14)
H. P. Goeters
W. Ullery
C. Vinsonhaler
K0 of Regular Rings with Bounded Index of Nilpotence 173(28)
K. R. Goodearl
Torsion in Quotients of the Multiplicative Group of a Number Field 201(4)
D. Holley
R. Wiegand
On pα-Injective Abelian Groups 205(12)
P. Keef
Abelian Groups with Contractions I 217(26)
F.-V. Kuhlmann
Typesets and Cotypesets of Finite-Rank Torsion-Free Abelian Groups 243(14)
R. S. Lafleur
A Generalization of Butler Groups 257(20)
A. Mader
O. Mutzbauer
K. M. Rangaswamy
Endomorphisms Over Incomplete Discrete Valuation Rings 277(10)
W. May
Bext2(G,T) Can Be Nontrivial Even Assuming GCH 287(8)
M. Magidor
S. Shelah
Representations and Duality 295(10)
R. Mines
C. Vinsonhaler
W. J. Wickless
Extending a Splitting Criterion on Mixed Modules 305(8)
O. Mutzbauer
E. Toubassi
Direct Summands of Zk for Large k 313(12)
J. D. O'Neill
Abelian Groups as Noetherian Modules Over Their Endomorphism Rings 325(8)
A. T. Paras
Isomorphism of Butler Groups at a Prime 333(6)
F. Richman
The Braid Group Action on the Set of Exceptional Sequences of a Hereditary Artin Algebra 339(14)
C. M. Ringel
Direct Limits of Two-Dimensional Prime Spectra 353(32)
C. Rotthaus
S. Wiegand
When is an Abelian p-Group Determined by the Jacobson Radical of Its Endomorphism Ring? 385(12)
P. Schultz
Similarities and Differences Between Abelian Groups and Modules Over Non-Perfect Rings 397(10)
J. Trlifaj
A Functor from Mixed Groups to Torsion-Free Groups 407(12)
W. J. Wickless
A Characterization of a Class of Butler Groups II 419
P. D. Yom
Preface xi
Conference Participants xiii
Richard Scott Pierce 1(12)
C. Vinsonhaler
On B2-Groups 13(8)
L. Bican
Decompositions of Almost Completely Decomposable Abelian Groups 21(16)
E. A. Blagoveshchenskaya
A. Mader
On the Divisible Parts of Quotient Groups 37(14)
A. Blass
Minimal Rings, Central Idempotents and the Pierce Sheaf 51(18)
W. D. Burgess
On Endomorphisms and Automorphisms of Some Pure Subgroups of the Baer-Specker Group 69(10)
A. L. S. Corner
B. Goldsmith
A Combinatorial Principle Equivalent to the Existence of Non-Free Whitehead Groups 79(20)
P. C. Eklof
S. Shelah
Endomorphisms of Local Warfield Groups 99(10)
S. T. Files
Finitely Presented Modules Over the Ring of Universal Numbers 109(12)
A. A. Fomin
A Survey of Butler Groups of Infinite Rank 121(20)
L. Fuchs
Unions of Chains of Butler Groups 141(6)
L. Fuchas
K. M. Rangaswamy
Some Torsion-Free Groups Arising in Measure Theory 147(12)
R. G. Gobel
R. M. Shortt
Numerical Invariants for a Class of Butler Groups 159(14)
H. P. Goeters
W. Ullery
C. Vinsonhaler
K0 of Regular Rings with Bounded Index of Nilpotence 173(28)
K. R. Goodearl
Torsion in Quotients of the Multiplicative Group of a Number Field 201(4)
D. Holley
R. Wiegand
On pα-Injective Abelian Groups 205(12)
P. Keef
Abelian Groups with Contractions I 217(26)
F.-V. Kuhlmann
Typesets and Cotypesets of Finite-Rank Torsion-Free Abelian Groups 243(14)
R. S. Lafleur
A Generalization of Butler Groups 257(20)
A. Mader
O. Mutzbauer
K. M. Rangaswamy
Endomorphisms Over Incomplete Discrete Valuation Rings 277(10)
W. May
Bext2(G,T) Can Be Nontrivial Even Assuming GCH 287(8)
M. Magidor
S. Shelah
Representations and Duality 295(10)
R. Mines
C. Vinsonhaler
W. J. Wickless
Extending a Splitting Criterion on Mixed Modules 305(8)
O. Mutzbauer
E. Toubassi
Direct Summands of Zk for Large k 313(12)
J. D. O'Neill
Abelian Groups as Noetherian Modules Over Their Endomorphism Rings 325(8)
A. T. Paras
Isomorphism of Butler Groups at a Prime 333(6)
F. Richman
The Braid Group Action on the Set of Exceptional Sequences of a Hereditary Artin Algebra 339(14)
C. M. Ringel
Direct Limits of Two-Dimensional Prime Spectra 353(32)
C. Rotthaus
S. Wiegand
When is an Abelian p-Group Determined by the Jacobson Radical of Its Endomorphism Ring? 385(12)
P. Schultz
Similarities and Differences Between Abelian Groups and Modules Over Non-Perfect Rings 397(10)
J. Trlifaj
A Functor from Mixed Groups to Torsion-Free Groups 407(12)
W. J. Wickless
A Characterization of a Class of Butler Groups II 419
P. D. Yom
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