同余原算术代数的一种“分类”
A "classification" of congruence primal arithmetical algebras
摘要：
我们对非冗余不可加细覆盖由原代数构成的本质代数进行了分类。证明是通过构造一对一的对应关系，这样的代数和偏序有限集。进一步证明了有限代数有一个由原代数构成的非冗余不可加细覆盖当且仅当它既是原同余代数又是算术代数。最后给出了同余原算术代数的组合刻划。
英文摘要：
We classify essential algebras whose irredundant non-refinable covers consist of primal algebras. The proof is obtained by constructing one to one correspondence between such algebras and partial orders on finite sets. Further, we prove that for a finite algebra, it has an irredundant non-refinable cover consists of primal algebras if and only if it is the both congruence primal and arithmetical. Finally, we obtain combinatorial description of congruence primal arithmetical algebras.
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。
