2021
DOI: 10.3390/sym13081471
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Centralising Monoids with Low-Arity Witnesses on a Four-Element Set

Abstract: As part of a project to identify all maximal centralising monoids on a four-element set, we determine all centralising monoids witnessed by unary or by idempotent binary operations on a four-element set. Moreover, we show that every centralising monoid on a set with at least four elements witnessed by the Maľcev operation of a Boolean group operation is always a maximal centralising monoid, i.e., a co-atom below the full transformation monoid. On the other hand, we also prove that centralising monoids witnesse… Show more

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Cited by 5 publications
(1 citation statement)
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References 24 publications
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“…So, the data set is obtained as a subscale of the signal processing process for analyzing and manipulating the physical quantities that define the given problem of information systems security [ 42 ]. Thus, when Δ ⟶ 0, the duration of the pulse decreases and its height increases, but the area remains constant and equal to the unit.…”
Section: Proposed S3idsmentioning
confidence: 99%
“…So, the data set is obtained as a subscale of the signal processing process for analyzing and manipulating the physical quantities that define the given problem of information systems security [ 42 ]. Thus, when Δ ⟶ 0, the duration of the pulse decreases and its height increases, but the area remains constant and equal to the unit.…”
Section: Proposed S3idsmentioning
confidence: 99%