半群的花环积与普洛特金问题

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2024-10-04 DOI:10.1007/s10469-024-09757-y

A. N. Shevlyakov

引用次数: 0

摘要

我们证明，有零的半群 A 和无限循环半群 B 的花环积 C = A ≀ B 是 qω-compact 的（逻辑上是诺特的）。我们的结果部分解决了 I. Plotkin 的花环积问题。

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Wreath Products of Semigroups and Plotkin’s Problem

We prove that the wreath product C = A ≀ B of a semigroup A with zero and an infinite cyclic semigroup B is q_ω-compact (logically Noetherian). Our result partially solves I. Plotkin‘s problem for wreath products.

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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.