?? generalized toric structures on a _discrete_ algebraic variety ???? ....
?? generalized toric embeddings of such into ordinary toric varieties ??? ...
???for example into torus itself ... ??? ...
?? walking idempotent .... ?????....
?? "fourier duality" for semi-lattices .... ??? dual bialgebras ???? ..... ??? and /or for commutative monoids, marrying semi-lattice case with abelian group case ... ??? .....
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