JUMP DEGREES OF TORSION-FREE ABELIAN GROUPS

被引：6

作者：

Andersen, Brooke M. ^{[1
]}

Kach, Asher M. ^{[2
]}

Melnikov, Alexander G. ^{[3
]}

Solomon, Reed ^{[4
]}

机构：

[1] Assumption Coll, Dept Math & Comp Sci, Worcester, MA 01609 USA

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[3] Univ Auckland, Dept Comp Sci, Auckland 1142, New Zealand

[4] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

JOURNAL OF SYMBOLIC LOGIC | 2012年 / 77卷 / 04期

关键词：

torsion-free abelian group; jump degree; ORDERINGS; SET;

D O I：

10.2178/jsl.7704020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show, for each computable ordinal a and degree a > 0((alpha)), the existence of a torsion-free abelian group with proper alpha th jump degree alpha.

引用

页码：1067 / 1100

页数：34

共 50 条

[31] Pure invariance in torsion-free abelian groups
Schultz, P
Abelian Groups, Rings, Modules, and Homological Algebra, 2006, 249 : 285 - 294
[32] COBALANCED TORSION-FREE ABELIAN-GROUPS
GOETERS, HP
COMMUNICATIONS IN ALGEBRA, 1993, 21 (08) : 2715 - 2726
[33] ON TORSION-FREE ABELIAN K-GROUPS
DUGAS, M
RANGASWAMY, KM
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (03) : 403 - 408
[34] Direct Decompositions of Torsion-Free Abelian Groups
E. Blagoveshchenskaya
Lobachevskii Journal of Mathematics, 2020, 41 : 1640 - 1646
[35] ABELIAN TORSION-FREE GROUPS WITH PERIODIC-GROUPS OF AMORPHISMS
BEKKER, IK
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1986, (02): : 3 - 12
[36] Multiplication Groups of Abelian Torsion-Free Groups of Finite Rank
Kompantseva, E. I.
Tuganbaev, A. A.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (04)
[37] Multiplication Groups of Abelian Torsion-Free Groups of Finite Rank
E. I. Kompantseva
A. A. Tuganbaev
Mediterranean Journal of Mathematics, 2023, 20
[38] QUASIPURE INJECTIVE TORSION-FREE ABELIAN-GROUPS
CHEKHLOV, AR
MATHEMATICAL NOTES, 1989, 46 (3-4) : 739 - 743
[39] 3 EXAMPLES ON HOPFICITY IN TORSION-FREE ABELIAN GROUPS
CORNER, ALS
ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1965, 16 (3-4): : 303 - &
[40] Decidability and Computability of Certain Torsion-Free Abelian Groups
Downey, Rodney G.
Goncharov, Sergei S.
Kach, Asher M.
Knight, Julia F.
Kudinov, Oleg V.
Melnikov, Alexander G.
Turetsky, Daniel
NOTRE DAME JOURNAL OF FORMAL LOGIC, 2010, 51 (01) : 85 - 96

← 1 2 3 4 5 →