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ShareScore release 0.9.0
Dataset results
2 results for “centralising monoid”
All centralising monoids on the set {0, 1, 2}, including their witnesses
<p>This dataset contains code and data to produce a list of all 192 centralising monoids on the set <span>\(\{0,1,2\}\)</span>, including a witness for each of them. This gives a computational verification of the classification of centralising monoids published by Machida and Rosenberg in <a href="https://doi.org/10.1109/ISMVL.2012.50">2012</a> and <a href="https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1846-07.pdf">2013</a>. Furthermore, some of the cpp-files and the context files form supplements to the <a href="https://doi.org/10.5281/zenodo.7653085">bachelor dissertation</a> of the second-named author. The code and the computed data contained in this upload also supplement the <a href="https://dx.doi.org/10.1007/978-3-031-35949-1_8">conference article</a> that appeared in <a href="http://www.kde.cs.uni-kassel.de/icfca2023">ICFCA 2023</a>.</p> <p>A detailed description of the files in the dataset can be obtained from the file cent_mons3_witn.pdf (the code source for this file is given in cent_mons3_witn.tex).</p>
All centralising monoids with binary operations as witnesses on the set {0,1,2,3}.
<p>This dataset contains all 33684 centralising monoids on the set <span>\(\{0,1,2,3\}\)</span> that can be witnessed by sets of binary operations. Among them the inclusion maximal proper monoids are shown. Classifications of various subsets of these monoids up to conjugacy are presented, as well. A detailed description of the files in the dataset can be obtained from the file binary_centralising_monoids.pdf (the code source for this file is given in binary_centralising_monoids.tex).</p>
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