Geodesic
Constructions over tournaments
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 413-428 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We investigate tournaments that are projective in the variety that they generate, and free algebras over partial tournaments in that variety. We prove that the variety determined by three-variable equations of tournaments is not locally finite. We also construct infinitely many finite, pairwise incomparable simple tournaments.
We investigate tournaments that are projective in the variety that they generate, and free algebras over partial tournaments in that variety. We prove that the variety determined by three-variable equations of tournaments is not locally finite. We also construct infinitely many finite, pairwise incomparable simple tournaments.
Classification : 05C20, 08B30
Keywords: tournament; variety; projective algebra 
@article{CMJ_2003_53_2_a15,
     author = {Je\v{z}ek, J.},
     title = {Constructions over tournaments},
     journal = {Czechoslovak Mathematical Journal},
     pages = {413--428},
     year = {2003},
     volume = {53},
     number = {2},
     mrnumber = {1983462},
     zbl = {1021.05041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2003_53_2_a15/}
}
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Ježek, J. Constructions over tournaments. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 413-428. http://geodesic.mathdoc.fr/item/CMJ_2003_53_2_a15/