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Algebra Logika, 2003 Volume 42, Number 5, Pages 624–635 (Mi al46)
This article is cited in 7 papers

The Greatest Proper Variety of $m$-Groups

V. M. Kopytov, J. Rachůnek


Abstract: It is proved that the variety $\mathcal N_m$ of all normal-valued $m$-groups is the greatest proper subvariety in the lattice of all $m$-varieties.

Keywords: variety, $m$-group, semiordered group, group of monotonic transformations.

UDC: 512.54

Received: 24.01.2001


 English version: Algebra and Logic, 2003, 42:5, 349–355

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© Steklov Math. Inst. of RAS, 2025