<div class="csl-bib-body">
<div class="csl-entry">Behrisch, M. (2022). All centralising monoids with majority witnesses on a four-element set. <i>Journal of Multiple-Valued Logic and Soft Computing</i>, <i>38</i>(1–2), 23–56. http://hdl.handle.net/20.500.12708/139952</div>
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dc.identifier.issn
1542-3980
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/139952
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dc.description.abstract
Extending previous work by Goldstern, Machida and Rosenberg, we study unary parts of centraliser clones on a four-element set, 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. As it turns out only 147 out of 1715 monoids have this property.
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dc.language.iso
en
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dc.publisher
OLD CITY PUBLISHING INC
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dc.relation.ispartof
Journal of Multiple-Valued Logic and Soft Computing
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dc.subject
commutation
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dc.subject
centraliser clone
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dc.subject
bicentrically closed clone
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dc.subject
primitive positive clone
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dc.subject
centralising monoid
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dc.subject
endoprimal monoid
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dc.subject
majority operation
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dc.subject
formal concept analysis
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dc.title
All centralising monoids with majority witnesses on a four-element set
