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dc.contributor.author
Cagliero, Leandro Roberto  
dc.contributor.author
Szchetman, Fernando  
dc.date.available
2018-01-03T18:27:01Z  
dc.date.issued
2014-12  
dc.identifier.citation
Cagliero, Leandro Roberto; Szchetman, Fernando; On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras; Canadian Mathematical Soc; Canadian Mathematical Bulletin-bulletin Canadien de Mathematiques; 57; 12-2014; 735-748  
dc.identifier.issn
0008-4395  
dc.identifier.uri
http://hdl.handle.net/11336/32141  
dc.description.abstract
We describe of all finite dimensional uniserial representations of a commutative associative (resp. abelian Lie) algebra over a perfect (resp. sufficiently large perfect) field. In the Lie case the size of the field depends on the answer to following question, considered and solved in this paper. Let $K/F$ be a finite separable field extension and let $x,yin K$. When is $F[x,y]=F[alpha x+eta y]$ for some non-zero elements $alpha,etain F$?  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Canadian Mathematical Soc  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Uniserial Module  
dc.subject
Lie Algebra  
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Associative Algebra  
dc.subject
Primitive Element  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-12-26T20:39:38Z  
dc.journal.volume
57  
dc.journal.pagination
735-748  
dc.journal.pais
Canadá  
dc.journal.ciudad
Vancouver  
dc.description.fil
Fil: Cagliero, Leandro Roberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina  
dc.description.fil
Fil: Szchetman, Fernando. University of Regina; Canadá  
dc.journal.title
Canadian Mathematical Bulletin-bulletin Canadien de Mathematiques  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1306.3965  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/on-the-theorem-of-the-primitive-element-with-applications-to-the-representation-theory-of-associative-and-lie-algebras/D8877328E0421D85BB4D0FC2A1181C1A