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<creators>
<creator>
<creatorName>Chernov, V.</creatorName>
<affiliation>Institutul de Matematică şi Informatică "Vladimir Andrunachievici", Moldova, Republica</affiliation>
</creator>
<creator>
<creatorName>Demidova, V.V.</creatorName>
<affiliation>Institutul de Matematică şi Informatică "Vladimir Andrunachievici", Moldova, Republica</affiliation>
</creator>
<creator>
<creatorName>Maliutina, N.N.</creatorName>
<affiliation>Institutul de Matematică şi Informatică "Vladimir Andrunachievici", Moldova, Republica</affiliation>
</creator>
<creator>
<creatorName>Şcerbacov, V.A.</creatorName>
<affiliation>Institutul de Matematică şi Informatică "Vladimir Andrunachievici", Moldova, Republica</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>Groupoids of order three up to isomorphisms</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2022</publicationYear>
<relatedIdentifier relatedIdentifierType='ISBN' relationType='IsPartOf'>978-9975-81-074-6</relatedIdentifier>
<dates>
<date dateType='Issued'>2022</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Conference Paper</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'><p>List of all classical Bol-Moufang identities is given in [1]. We continue count of number non-isomorphic groupoids of order three with some Bol-Moufang identities [2, 3, 4, 5].</p><p>There exist 26 non-isomorphic groupoids of order 3 with identity F9, (x.yz)x= x(yz.x) from possible 221 groupoids. There exist 159 non-isomorphic groupoids of order 3 with identity F10, x(y. zx) = x(yz.x) from possible 874 groupoids. Identity F11 xy.xz = (xy,x)z: up to isomorphism there exist 49 groupoids. Identity F12 xy.xz = (x.yx)z: up to isomorphism there exist 45 groupoids. Identity F13 xy.xz = x(yx.z): up to isomorphism there exist 53 groupoids. Identity F13 xy.xz = x(yx.z): up to isomorphism there exist 53 groupoids. Identity F14 xy.xz = x(y.xz): up to isomorphism there exist 61 groupoids. Identity F15 (xy.x)z = (x.yx)z: up to isomorphism there exist 253 groupoids. Identity F16 (xy.x)z = x(yx.z): up to isomorphism there exist 73 groupoids. Identity F17 (xy.x)z = x(yx.z): up to isomorphism there exist 35 groupoids. Identity F18 (x.yx)z = x(yx.z): up to isomorphism there exist 61 groupoids. Identity F19 (x.yx)z = x(y.xz): up to isomorphism there exist 40 groupoids. Identity F20 x(yx.z) = x(y.xz): up to isomorphism there exist 110 groupoids from possible 601.</p></description>
</descriptions>
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