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

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