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<creators>
<creator>
<creatorName>Zekovich, B.</creatorName>
<affiliation>University of Montenegro Podgorica, Muntenegru</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>Relations between n-ary and binary comodules</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2015</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1561-2848</relatedIdentifier>
<subjects>
<subject schemeURI='http://udcdata.info/' subjectScheme='UDC'>512.5/.6</subject>
</subjects>
<dates>
<date dateType='Issued'>2015-12-22</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'>We construct a binary algebra R = C(n_1)/I for an n-ary algebra C and prove that M is an n-ary left C-module if and only if M is a binary left R-module. In the dual case, for an n-ary coalgebra C, we construct a binary coalgebra: C_(n_1) = n\_2 j=1 Ker h _  1(n_2) C _ 1j C  _  1(n_2_j) C i _ C(n_1) and prove that M is an n-ary right C-comodule if and only if M is a binary right C_(n_1)comodule. In the end, we prove that for n-ary _nite generated coalgebra C over a _eld k, C_(n_1) is the binary coalgebra, on the other hand, C_ is an n-ary algebra, for which, we construct the binary algebra R = (C_)(n_1)/I . If C is a _nite-dimensional n-ary coalgebra over a _eld k, then C_ is a n-ary algebra and (C_(n_1))_ _= (C_)(n_1) _ I: Dually, if C is an n-ary _nite generated algebra over a _eld k, then R = C(n_1) _ I is a binary algebra and C_ is an n-ary coalgebra. Moreover, (C_)_(n_1) _= _ C(n_1) _ I .</description>
</descriptions>
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</formats>
</resource>