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Almost ff-universal and q-universal varieties of modular 0-lattices
\def\Bbb#1{{\mathbb#1}}A variety $\Bbb V$ of algebras of a finite type is almost $f\!f$-universal if there is a finiteness-preserving faithful functor $F:\Bbb G\rightarrow \Bbb V$ from the category $\Bbb G$ of all graphs and their compatible maps such