相对R-类个数为2的三元集上的次极大克隆
The submaximal clones on the three-element set with finitely many relative R-classes
摘要:
对于集合A上的每个克隆C,存在一个类似于格林R关系的关联等价关系,它关联A上的两个操作,当且仅当每个操作都是另一个操作的替换实例。我们研究了三元集上的极大克隆和次极大克隆,并确定了它们中的哪一个只有2个相对R-类。
英文摘要:
For each clone C on a set A there is an associated equivalence relation analogous to Green's R-relation, which relates two operations on A if and only if each one is a substitution instance of the other using operations from C. We study the maximal and submaximal clones on a three-element set and determine which of them have only finitely many relative R-classes.
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。