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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 4, Pages 779–782
(Mi smj1329)
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The axiomatic rank of the quasivariety of orderable groups is infinite
V. V. Bludovab a Irkutsk State University
b Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
Abstract:
We prove that the axiomatic rank of the quasivariety of orderable groups and that of the quasivariety of $\Gamma$-torsion-free groups are infinite.
Keywords:
axiomatic rank, quasivariety, orderable group.
Received: 23.11.2001
Citation:
V. V. Bludov, “The axiomatic rank of the quasivariety of orderable groups is infinite”, Sibirsk. Mat. Zh., 43:4 (2002), 779–782; Siberian Math. J., 43:4 (2002), 623–625
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https://www.mathnet.ru/eng/smj1329 https://www.mathnet.ru/eng/smj/v43/i4/p779
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Abstract page: | 168 | Full-text PDF : | 74 |
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