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<resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'>
<creators>
<creator>
<creatorName>Cataranciuc, S.G.</creatorName>
<affiliation>Universitatea de Stat din Moldova, Moldova, Republica</affiliation>
</creator>
<creator>
<creatorName>Soltan, P.</creatorName>
<affiliation>Universitatea de Stat din Moldova, Moldova, Republica</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>Abstract complexes, their homologies and applications</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2010</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1024-7696</relatedIdentifier>
<subjects>
<subject>complex</subject>
<subject>manifold</subject>
<subject>Abstract cube</subject>
<subject>quasi-simplex</subject>
<subject>multidimensional Euler tour</subject>
</subjects>
<dates>
<date dateType='Issued'>2010-08-02</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'>The complex of multi-ary relations Kn is defined in a more natural way than it was defined in [18, 58, 59]. The groups of homologies and co-homologies of this complex over the group of integer numbers are constructed. The methods
used for these constructions are for the most part analogous with classical methods [2,32,52], but sometimes they are based on methods from [18,44,58]. The importance and originality consist in application of the multi-ary relations of a set of objects in construction of homologies. This allows to extend areas of theoretical researches and non-trivial practical applications in a lot of directions. Other abstract structures, which are developed in a natural way from generalized complex of multi-ary relations are also examined. New notions such as the notions of abstract quasi-simplex and its homologies, the complex of abstract simplexes and the complex of the n-dimensional abstract cubes are introduced.</description>
</descriptions>
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<format>application/pdf</format>
</formats>
</resource>