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On free $$\ell$$-semigroups. (Russian) Zbl 0582.06016
A (standard) construction of the free object F(X) over a set X in the variety of $$\ell$$-semigroups is given. Further, it is proved that the free $$\ell$$-semigroup F(X) over a countable set X can be embedded into a monogeneous free $$\ell$$-semigroup. As a corollary one obtains that the base rank of the variety of all $$\ell$$-semigroups equals 1.
Reviewer: V.Novák

##### MSC:
 06F05 Ordered semigroups and monoids
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