Geodesic
Nonfinite basicity for a certain number system
Algebra i logika, Tome 51 (2012) no. 1, pp. 82-95

Voir la notice de l'article provenant de la source Math-Net.Ru

A negative answer is given to the question whether there exists a finite basis for real numbers with multiplication and a unary operation $1-x$.
Keywords: real numbers, finite basis of identities. 
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     author = {A. Kungozhin},
     title = {Nonfinite basicity for a~certain number system},
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     publisher = {mathdoc},
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     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2012_51_1_a3/}
}
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A. Kungozhin. Nonfinite basicity for a certain number system. Algebra i logika, Tome 51 (2012) no. 1, pp. 82-95. http://geodesic.mathdoc.fr/item/AL_2012_51_1_a3/