论文标题
在代数结构的直接力量方程式上
On equations over direct powers of algebraic structures
论文作者
论文摘要
我们研究图形,POSET和矩形的方程式系统。当这种代数结构的直接力量在方程式上是Noetherian时,我们给出了标准。此外,我们证明有限代数结构的任何直接力量在方程式上都是弱的。
We study systems of equations over graphs, posets and matroids. We give the criteria, when a direct power of such algebraic structures is equationally Noetherian. Moreover we prove that any direct power of a finite algebraic structure is weakly equationally Noetherian.