有限生成代数之间的满同态
Epimorphisms between finitely generated algebras
AI总结：
本文研究拟簇的弱ES性质，给出其刻画及在两类代数结构中检测该性质失效的方法，证明弱ES性质在合理假设下蕴含算术性，且具该性质的滤簇均为判别器簇。
摘要：
当拟簇中有限生成成员之间的满同态都是满射时，该拟簇具有弱ES性质。本文得到了具有弱ES性质的拟簇的一个刻画，并给出了在具有近一致项的拟簇以及同余可交换簇中检测该性质失效情况的方法。研究还表明，在合理假设下，弱ES性质蕴含算术性。特别地，每个具有弱ES性质的滤簇都是判别器簇。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
