T1-Separable Numberings of Subdirectly Indecomposable Algebras

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2021-12-03 DOI:10.1007/s10469-021-09651-x

N. Kh. Kasymov, A. S. Morozov, I. A. Khodzhamuratova

引用次数: 1

Abstract

We prove the existence of a natural subclass of subdirectly indecomposable algebras all of whose Hausdorff numberings are negative. We also construct a T₁-separable nonnegative subdirectly indecomposable algebra with Artinian congruence lattice.

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次直不可分解代数的T1可分数

我们证明了次直不可分解代数的一个自然子类的存在性，其Hausdorff数都是负数。我们还构造了一个具有Artinian同余格的T1可分非负次直不可分解代数。

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.