有限生成代数之间的外胚

IF 0.8 4区数学 Q3 MATHEMATICS

Indagationes Mathematicae-New Series Pub Date : 2025-05-09 DOI:10.1016/j.indag.2025.04.006

Luca Carai , Miriam Kurtzhals , Tommaso Moraschini

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引用次数: 0

摘要

当有限生成元间的外胚是满射时，拟变具有弱ES性质。得到了一类弱ES性质的拟变簇的一个特征，并给出了在具有近一致项和同余可变簇的拟变簇中检测弱ES性质失效的方法。在合理的假设下，弱ES性质意味着算术性。特别地，每一个具有弱ES性质的滤子都是一个鉴别器。

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Epimorphisms between finitely generated algebras

A quasivariety has the weak ES property when the epimorphisms between its finitely generated members are surjective. A characterization of quasivarieties with the weak ES property is obtained and a method for detecting failures of this property in quasivarieties with a near unanimity term and in congruence permutable varieties is given. It is also shown that under reasonable assumptions the weak ES property implies arithmeticity. In particular, every filtral variety with the weak ES property is a discriminator variety.

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来源期刊

Indagationes Mathematicae-New Series 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

79 days

期刊介绍： Indagationes Mathematicae is a peer-reviewed international journal for the Mathematical Sciences of the Royal Dutch Mathematical Society. The journal aims at the publication of original mathematical research papers of high quality and of interest to a large segment of the mathematics community. The journal also welcomes the submission of review papers of high quality.