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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2002 Volume 43, Number 4, Pages 779–782 (Mi smj1329)
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.

UDC: 512.54

Received: 23.11.2001


 English version: Siberian Mathematical Journal, 2002, 43:4, 623–625

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© Steklov Math. Inst. of RAS, 2026