Decomposability and Computability

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2022-10-15 DOI:10.1007/s10469-022-09683-x

B. Khoussainov, A. G. Melnikov

引用次数: 0

Abstract

We present a new construction of indecomposable type 0 Abelian groups of rank 2. The new construction is used to study degree spectra of such groups. As a corollary, we obtain a new computability-theoretic proof showing that there exist continuum many nonisomorphic type 0 indecomposable Abelian groups of rank 2.

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可分解性和可计算性

我们给出了秩为2的不可分解0型阿贝尔群的一个新构造。新的结构用于研究这类群的度谱。作为推论，我们得到了一个新的可计算性理论证明，证明了存在许多连续的秩为2的非同构0型不可分解阿贝尔群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.