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<creators>
<creator>
<creatorName>Cuzneţov, E.A.</creatorName>
</creator>
</creators>
<titles>
<title xml:lang='en'>Transversals in loops. 1. Elementary properties</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2010</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1561-2848</relatedIdentifier>
<dates>
<date dateType='Issued'>2010-01-01</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'>A new notion of a transversal in a loop to its subloop is introduced and studied. This notion generalized a well-known notion of a transversal in a group to its subgroup and can be correctly dened only in the case, when some specic condition (condition A) for a loop and its subloop is fullled. Elementary properties of the transversals in a loop to its subloop are investigated and proved. With the help of the notion of
transversal in a loop to its subloop a new notion of permutational representation of a loop by left (right) cosets to its subloop is introduced and studied.</description>
</descriptions>
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<format>application/pdf</format>
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</resource>