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Rocky Mountain Journal of Mathematics
VOL. 32 · NO. 4 | Winter 2002
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 32, no. 4, (2002)
Rocky Mountain J. Math. 32 (4), (Winter 2002) Open Access
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Preface, Conference Speakers and Conference Participants
David M. Arnold, Adolf Mader
Rocky Mountain J. Math. 32 (4), 1057-1070, (Winter 2002) Open Access
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Articles
The Discovery of Forcing
Paul Cohen
Rocky Mountain J. Math. 32 (4), 1071-1100, (Winter 2002) DOI: 10.1216/rmjm/1181070010 Open Access
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The Birth of Homological Algebra
Peter Hilton
Rocky Mountain J. Math. 32 (4), 1101-1107, (Winter 2002) DOI: 10.1216/rmjm/1181070011 Open Access
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The Affinity of Set Theory and Abelian Group Theory
Paul C. Eklof
Rocky Mountain J. Math. 32 (4), 1119-1134, (Winter 2002) DOI: 10.1216/rmjm/1181070012 Open Access
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The Development of the Theory of $p$-Groups
Paul Hill
Rocky Mountain J. Math. 32 (4), 1135-1151, (Winter 2002) DOI: 10.1216/rmjm/1181070013 Open Access
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International Conferences on Abelian Group Theory: The First Forty Years
David M. Arnold
Rocky Mountain J. Math. 32 (4), 1153-1160, (Winter 2002) DOI: 10.1216/rmjm/1181070014 Open Access
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Abelian Groups in Russia
Alexander A. Fomin
Rocky Mountain J. Math. 32 (4), 1161-1180, (Winter 2002) DOI: 10.1216/rmjm/1181070015 Open Access
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Abelian Groups in Hungary
Laszlo Fuchs
Rocky Mountain J. Math. 32 (4), 1181-1195, (Winter 2002) DOI: 10.1216/rmjm/1181070016 Open Access
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Remarks about the History of Abelian Groups in England and Germany
Rüdiger Göbel
Rocky Mountain J. Math. 32 (4), 1197-1217, (Winter 2002) DOI: 10.1216/rmjm/1181070017 Open Access
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Mid-century in Seattle
J.D. Reid
Rocky Mountain J. Math. 32 (4), 1219-1227, (Winter 2002) DOI: 10.1216/rmjm/1181070018 Open Access
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Abelian Group Theory in Italy
Luigi Salce
Rocky Mountain J. Math. 32 (4), 1229-1243, (Winter 2002) DOI: 10.1216/rmjm/1181070019 Open Access
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Jerzy Łoś and a History of Abelian Groups in Poland
Daniel Simson
Rocky Mountain J. Math. 32 (4), 1245-1255, (Winter 2002) DOI: 10.1216/rmjm/1181070020 Open Access
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Abelian Groups at New Mexico State University
Elbert A. Walker
Rocky Mountain J. Math. 32 (4), 1257-1265, (Winter 2002) DOI: 10.1216/rmjm/1181070021 Open Access
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Measuring the Classification Difficulty of Countable Torsion-Free Abelian Groups
Greg Hjorth
Rocky Mountain J. Math. 32 (4), 1267-1280, (Winter 2002) DOI: 10.1216/rmjm/1181070022 Open Access
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A Geometric Setting for Some Properties of Torsion-Free Modules
Bruce Olberding
Rocky Mountain J. Math. 32 (4), 1281-1297, (Winter 2002) DOI: 10.1216/rmjm/1181070023 Open Access
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Generalized Triangular Matrix Rings and the Fully Invariant Extending Property
Gary F. Birkenmeier, Jae Keol Park, S. Tariq Rizvi
Rocky Mountain J. Math. 32 (4), 1299-1319, (Winter 2002) DOI: 10.1216/rmjm/1181070024 Open Access
KEYWORDS: 16S50, 16D70, 16D20
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Pure Projectives and Injectives
John Dauns
Rocky Mountain J. Math. 32 (4), 1321-1330, (Winter 2002) DOI: 10.1216/rmjm/1181070025 Open Access
KEYWORDS: 16D10, 16D40, 16D50
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A Class of Abelian Groups Defined by Continuous Cross Sections in the Bohr Topology
Dikran Dikranjan
Rocky Mountain J. Math. 32 (4), 1331-1355, (Winter 2002) DOI: 10.1216/rmjm/1181070026 Open Access
KEYWORDS: Bohr topology, Ramsey theorem, 05D10, 20K45, 22A05, 54H11
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Tight Subgroups of Almost Completely Decomposable Groups
Ulrich Dittmann
Rocky Mountain J. Math. 32 (4), 1357-1366, (Winter 2002) DOI: 10.1216/rmjm/1181070027 Open Access
KEYWORDS: 20K15
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$M$-free Abelian Groups
Manfred Dugas, Shalom Feigelstock, Jutta Hausen
Rocky Mountain J. Math. 32 (4), 1367-1382, (Winter 2002) DOI: 10.1216/rmjm/1181070028 Open Access
KEYWORDS: 20K30
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Completely Decomposable Abelian Groups with a Distinguished CD Subgroup
Manfred Dugas, K.M. Rangaswamy
Rocky Mountain J. Math. 32 (4), 1383-1395, (Winter 2002) DOI: 10.1216/rmjm/1181070029 Open Access
KEYWORDS: Completely decomposable groups, distinguished subgroups, 20K15, 20K30
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Strictly Nonzero Charges
Rüdiger Göbel, K.P.S. Bhaskara Rao
Rocky Mountain J. Math. 32 (4), 1397-1407, (Winter 2002) DOI: 10.1216/rmjm/1181070030 Open Access
KEYWORDS: Boolean algebras, fields, charges, Measures, torsion-free abelian groups, 28B10, 20K15, 20K25, 03E55, 03E75
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The Krull-Schmidt Property for Ideals and Modules over Integral Domains
Pat Goeters, Bruce Olberding
Rocky Mountain J. Math. 32 (4), 1409-1429, (Winter 2002) DOI: 10.1216/rmjm/1181070031 Open Access
KEYWORDS: 13C05
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On Unit Sum Numbers of Rational Groups
B. Goldsmith, C. Meehan, S.L. Wallutis
Rocky Mountain J. Math. 32 (4), 1431-1450, (Winter 2002) DOI: 10.1216/rmjm/1181070032 Open Access
KEYWORDS: 20K30, 20K15
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On Torsion and Mixed Minimal Abelian Groups
B. Goldsmith, S. Ó hÓgáin
Rocky Mountain J. Math. 32 (4), 1451-1465, (Winter 2002) DOI: 10.1216/rmjm/1181070033 Open Access
KEYWORDS: 20K21, 20K10
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On Kervaire and Murthy's Conjecture
Ola Helenius, Alexander Stolin
Rocky Mountain J. Math. 32 (4), 1467-1483, (Winter 2002) DOI: 10.1216/rmjm/1181070034 Open Access
KEYWORDS: Picard groups, integral group rings, 11R65, 11R21, 19A31
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A Characterization of FGC Rings
George Ivanov, Peter Vámos
Rocky Mountain J. Math. 32 (4), 1485-1492, (Winter 2002) DOI: 10.1216/rmjm/1181070035 Open Access
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Locally Injective Modules and Locally Projective Modules
Friedrich Kasch
Rocky Mountain J. Math. 32 (4), 1493-1504, (Winter 2002) DOI: 10.1216/rmjm/1181070036 Open Access
KEYWORDS: 16D50, 16D40
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Sharp Types Revisited
A. Mader, L.G. Nongxa, C. Vinsonhaler
Rocky Mountain J. Math. 32 (4), 1505-1522, (Winter 2002) DOI: 10.1216/rmjm/1181070037 Open Access
KEYWORDS: socle, radical, near-isomorphism, almost completely decomposable group, cyclic regulating quotient, 20K15, 20K35
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Isotype Warfield Subgroups of Global Warfield Groups
Charles Megibben, William Ullery
Rocky Mountain J. Math. 32 (4), 1523-1542, (Winter 2002) DOI: 10.1216/rmjm/1181070038 Open Access
KEYWORDS: Global Warfield group, isotype subgroup, knice subgroup, Axiom 3, global k -group, separable subgroup, compatible subgroups, 20K21, 20K27
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Isomorphism Classes of Uniform Groups
Michael Nahler
Rocky Mountain J. Math. 32 (4), 1543-1558, (Winter 2002) DOI: 10.1216/rmjm/1181070039 Open Access
KEYWORDS: 20K15
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Commutative Endomorphism Algebras of Torsion-Free, Rank-Two Kronecker Modules with Singular Height Functions
Frank Okoh, Frank Zorzitto
Rocky Mountain J. Math. 32 (4), 1559-1576, (Winter 2002) DOI: 10.1216/rmjm/1181070040 Open Access
KEYWORDS: 16S50, 14A25, 15A27
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Quasi-Purifiable Subgroups and Height-Matrices
Takashi Okuyama
Rocky Mountain J. Math. 32 (4), 1577-1595, (Winter 2002) DOI: 10.1216/rmjm/1181070041 Open Access
KEYWORDS: 20K21, 20K27
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On Endomorphism Rings of Free Modules
J.D. Reid
Rocky Mountain J. Math. 32 (4), 1597-1604, (Winter 2002) DOI: 10.1216/rmjm/1181070042 Open Access
KEYWORDS: 16D40
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Pre-abelian Clan Categories
Fred Richman
Rocky Mountain J. Math. 32 (4), 1605-1616, (Winter 2002) DOI: 10.1216/rmjm/1181070043 Open Access
KEYWORDS: 16G20
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Cotorsion Theories Cogenerated by $\aleph_1$-free Abelian Groups
Saharon Shelah, Lutz Strüngmann
Rocky Mountain J. Math. 32 (4), 1617-1626, (Winter 2002) DOI: 10.1216/rmjm/1181070044 Open Access
KEYWORDS: 20K15, 20K20, 20K35, 20K40
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Chain Categories of Modules and Subprojective Representations of Posets over Uniserial Algebras
Daniel Simson
Rocky Mountain J. Math. 32 (4), 1627-1650, (Winter 2002) DOI: 10.1216/rmjm/1181070045 Open Access
KEYWORDS: 16G20
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Semiregular, Semiperfect and Perfect Rings Relative to an Ideal
Mohamed F. Yousif, Yiqiang Zhou
Rocky Mountain J. Math. 32 (4), 1651-1671, (Winter 2002) DOI: 10.1216/rmjm/1181070046 Open Access
KEYWORDS: 16P99, 16N99
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$u$-Independence and Quadratic $u$-Independence in the Construction of Indecomposable Finitely Generated Modules
Paolo Zanardo
Rocky Mountain J. Math. 32 (4), 1673-1683, (Winter 2002) DOI: 10.1216/rmjm/1181070047 Open Access
KEYWORDS: 16L99, 16S15
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Index
Volume Index for Volume 32
Rocky Mountain J. Math. 32 (4), 1685-1688, (Winter 2002) DOI: 10.1216/rmjm/1181070048 Open Access
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