自由严格n元半群由它们的自同态半群决定

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2025-08-30 DOI:10.1007/s00012-025-00903-w

Anatolii V. Zhuchok

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引用次数: 0

摘要

普洛金在他的普洛金代数几何讲座中提出了自由代数的可判定性问题。对于自由群，E. formek和G. Mashevitsky和B. M. Schein分别解决了这个问题。作为自由半群的自然推广，我们解决了自由严格n元半群的可确定性问题。

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Free strict n-tuple semigroups are determined by their endomorphism semigroups

The problem of determinability for free algebras in a given variety was posed by B. I. Plotkin in his lectures on universal algebraic geometry. This problem has been solved for free groups by E. Formanek, and for free semigroups and free monoids by G. Mashevitsky and B. M. Schein. We solve the determinability problem for free strict n-tuple semigroups as a natural generalization of free semigroups.

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来源期刊

Algebra Universalis 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3 months

期刊介绍： Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.