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Decompositions of commutative monoid congruences and binomial ideals
Decompositions of commutative monoid congruences binomial ideals Commutative Algebra
2011/9/19
Abstract: We demonstrate how primary decomposition of commutative monoid congruences fails to capture the essence of primary decomposition in commutative rings by exhibiting a more sensitive theory of...
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...