Right-ordered and free lattice-ordered groups
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The free ℓ-groups over nilpotent groups are considered. The upper bound of ℓ-solvable length is found for an ℓ-group over a nilpotent group of finite rank; the lower bound of solvable length is given for a free ℓ-group over a finitely generated nilpotent group.
KeywordsMathematical Logic Nilpotent Group Finite Rank Solvable Length
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