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Gallai Decomposition of Ordered Groups: Subgroups, Quotients, and the $N$-free Case
We study Gallai decomposition for groups equipped with two-sided invariant partial orders. The key algebraic step extends to arbitrary binary relations compatible with the group operation: if all left and right translations preserve a binary relation $ρ$, then every least strong module $S_ρ(\e,g)$,
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