Around nonclassifiability for countable torsion free abelian groups

被引：0
|
作者：
Hjorth, G [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
来源：
ABELIAN GROUPS AND MODULES | 1999年
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The classification problem for countable torsion free abelian groups is as complicated as that for arbitrary countable structures. The isomorphism relation on general finite rank torsion free abelian groups is not hyperfinite - and thus does not admit invariants of the same structure as in rank 1.
引用
收藏
页码：269 / 292
页数：24
相关论文
共 50 条
  • [31] Indecomposable decompositions of torsion-free abelian groups
    Mader, Adolf
    Schultz, Phill
    JOURNAL OF ALGEBRA, 2018, 506 : 267 - 296
  • [32] COMPLETE THEORIES OF TORSION FREE ABELIAN-GROUPS
    DEISSLER, R
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (05): : A496 - A496
  • [33] TORSION FREE ABELIAN GROUPS NORMALLY DETERMINED BY THEIR HOLOMORPHS
    Grinshpon, Samuil Yakovlevich
    Grinshpon, Irina Eduardovna
    VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2013, (23): : 23 - 33
  • [34] SUMS OF COMPLEXES IN TORSION-FREE ABELIAN GROUPS
    TARWATER, JD
    ENTRINGE.RC
    CANADIAN MATHEMATICAL BULLETIN, 1969, 12 (04): : 475 - &
  • [35] LOCAL QUASIISOMORPHISMS OF TORSION FREE ABELIAN-GROUPS
    WALKER, CL
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A99 - A99
  • [36] Torsion-free weakly transitive abelian groups
    Goldsmith, B
    Strüngmann, L
    COMMUNICATIONS IN ALGEBRA, 2005, 33 (04) : 1177 - 1191
  • [37] QUASISERVING INJECTIVE ABELIAN TORSION-FREE GROUPS
    CHEKHLOV, AR
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1988, (06): : 80 - 83
  • [38] ELEMENTARY PROPERTIES OF TORSION-FREE ABELIAN GROUPS
    ZAKON, E
    CANADIAN MATHEMATICAL BULLETIN, 1966, 9 (03): : 399 - &
  • [39] NEARLY ISOMORPHIC TORSION FREE ABELIAN-GROUPS
    LADY, EL
    JOURNAL OF ALGEBRA, 1975, 35 (1-3) : 235 - 238
  • [40] PROJECTIVE CLASSES OF TORSION FREE ABELIAN-GROUPS
    VINSONHALER, C
    WICKLESS, W
    ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1982, 39 (1-3): : 195 - 215
12345