arXiv 2011.003382020-11math.RAmath.LO

All centralising monoids with majority witnesses on a four-element set

Mike Behrisch

备注：: 43 pages, 9 tables, contains additional raw material (e.g. the computed contexts and some source files) in an ancillary files directory; a shorter version of this article will appear in J. Mult.-Valued Logic Soft Comput
发表信息：: J. Mult.-Valued Logic Soft Comput. 38(1-2) (2022) 23-56

英文摘要：

We study unary parts of centraliser clones on the set $\{0,1,2,3\}$, so-called centralising monoids. We describe and count all centralising monoids on the set $\{0,1,2,3\}$ having majority operations as witnesses, and we list the inclusion maximal proper submonoids of the full transformation monoid among them. This extends previous work by Goldstern, Machida and Rosenberg.

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