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arXiv 0905.1614math.RA
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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

Erkko Lehtonen, Agnes Szendrei

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。

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