Free R-n-modules
Close
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
592 0
SM ISO690:2012
IANCU, Lacrimioara. Free R-n-modules. In: Quasigroups and Related Systems, 1999, nr. 1(6), pp. 13-22. ISSN 1561-2848.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Quasigroups and Related Systems
Numărul 1(6) / 1999 / ISSN 1561-2848

Free R-n-modules

Pag. 13-22

Iancu Lacrimioara12
 
1 North University Centre of Baia Mare,
2 Université Lyon
 
 
Disponibil în IBN: 10 mai 2016


Rezumat

We de_ne the canonical presentation of an R-n-module, in terms of its largest n-submodule with zero and of an idempotent commutative n-group. We give a construction for the free R-n-module with zero, as well as a canonical presentation for the free R-n-module. We give the number of zero-idempotents of a _nitely generated free R-n-module. The last theorem states that, for n > 3, free R-nmodules are isomorphic if and only if their free generating sets have the same cardinality.

DataCite XML Export

<?xml version='1.0' encoding='utf-8'?>
<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>Iancu, L.</creatorName>
<affiliation>Universitatea de Nord Baia Mare, România, România</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>Free R-n-modules</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>1999</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1561-2848</relatedIdentifier>
<dates>
<date dateType='Issued'>1999-01-05</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'>We de_ne the canonical presentation of an R-n-module, in terms of its largest n-submodule with zero and of an idempotent commutative n-group. We give a construction for the free R-n-module with zero, as well as a canonical presentation for the free R-n-module. We give the number of zero-idempotents of a _nitely generated free R-n-module. The last theorem states that, for n > 3, free R-nmodules are isomorphic if and only if their free generating sets have the same cardinality. </description>
</descriptions>
<formats>
<format>application/pdf</format>
</formats>
</resource>