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Theory and applications of lattice point methods for binomial ideals
binomial ideal primary decomposition polynomial ring affine semigroup
2010/12/6
This survey of methods surrounding lattice point methods for binomial ideals begins with a leisurely treatment of the geometric combinatorics of binomial primary decomposition. It then proceeds to thr...
More sublattices of the lattice of local clones
clone local closure algebraic lattice embedding
2010/11/30
We investigate the complexity of the lattice of local clones over a countably infinite base set. In particular, we prove that this lattice contains all algebraic lattices with at most countably many c...