Artículo

Equivalence between varieties of square root rings and Boolean algebras with a distinguished automorphism

Díaz Varela, José PatricioIcon
Fecha de publicación: 05/2006
Editorial: Academic Press Inc Elsevier Science
Revista: Journal of Algebra
ISSN: 0021-8693
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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].
Palabras clave: BOOLEAN ALGEBRAS , COMMUTATIVE RINGS , FINITE FIELDS , FROBENIUS AUTOMORPHISM , INTERPRETATIONS
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/96058
DOI: http://dx.doi.org/10.1016/j.jalgebra.2006.02.017
URL: https://www.sciencedirect.com/science/article/pii/S0021869306001165
Colecciones
Articulos(INMABB)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Citación
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
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