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We study the regularity and the algebraic properties of certain lattice ideals. We establish a map $$I \mapsto \tilde I$$ between the family of graded lattice ideals in an ℕ-graded polynomial ring over a field K and the family of graded lattice ideals in a polynomial ring with the standard grading. This map is shown to preserve the complete intersection property and the regularity of I but not...
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