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dc.contributor.author
Díaz Varela, José Patricio  
dc.date.available
2020-01-28T20:16:30Z  
dc.date.issued
2006-05  
dc.identifier.citation
Díaz Varela, José Patricio; Equivalence between varieties of square root rings and Boolean algebras with a distinguished automorphism; Academic Press Inc Elsevier Science; Journal of Algebra; 299; 1; 5-2006; 190-197  
dc.identifier.issn
0021-8693  
dc.identifier.uri
http://hdl.handle.net/11336/96058  
dc.description.abstract
In this paper we study the variety R2 of square root rings, that is, commutative rings with unit, of characteristic two, with the square root as an additional operation. We prove that this variety is generated by the finite Galois fields GF ( 2k ) and we establish an equivalence between R2 and the variety BA δ of Boolean algebras with a distinguished automorphism. Via this equivalence, we will be able to obtain properties of R2 from the results proved in [M. Abad, J.P. Díaz Varela, M. Zander, Boolean algebras with a distinguished automorphism, Rep. Math. Logic 37 (2003) 101-112].  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
BOOLEAN ALGEBRAS  
dc.subject
COMMUTATIVE RINGS  
dc.subject
FINITE FIELDS  
dc.subject
FROBENIUS AUTOMORPHISM  
dc.subject
INTERPRETATIONS  
dc.subject.classification
Matemática Aplicada  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Equivalence between varieties of square root rings and Boolean algebras with a distinguished automorphism  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-12-18T13:58:20Z  
dc.journal.volume
299  
dc.journal.number
1  
dc.journal.pagination
190-197  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Díaz Varela, José Patricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina  
dc.journal.title
Journal of Algebra  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jalgebra.2006.02.017  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869306001165  

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