ITBM-算法的构造补全

IF 0.7 4区数学 Q2 MATHEMATICS

Siberian Mathematical Journal Pub Date : 2024-05-29 DOI:10.1134/s003744662403008x

A. S. Morozov

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引用次数: 0

摘要

我们引入了 ITBM 构造代数的概念，它是构造代数概念的广义化，并研究了这类代数的完备性。我们得到了元代数完备性存在的一些准则，并证明了每个具有完备性的 ITBM 构造元代数都可以自然地扩展为 ITBM 构造完备性。利用这些结果，我们为一些特定的代数建立了 ITBM 构造性呈现的存在性。

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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ITBM-Constructive Completions of Algebras

We introduce the notion of ITBM-constructive algebra, which is a generalization of the notion of constructive algebra, and study completions of such algebras. We obtain some criterion for the existence of completions for metrized algebras and prove that each ITBM-constructive metrized algebra which has completion can be naturally extended to the ITBM-constructive completion. Using these results, we establish the existence of ITBM-constructive presentations for some particular algebras.

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来源期刊

Siberian Mathematical Journal 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.