Workshop
How primary decomposition of congruences and binomial ideals is wrong
- Thomas Kahle (Institut Mittag-Leffler, Djursholm, Sweden)
Abstract
Every binomial ideal in a monoid algebra induces a congruence on the monoid. Decomposing the induced congruence is a fair approximation of a primary decomposition of a binomial ideal. We will present a decomposition theory of congruences that remedies many of the deficits of primary decomposition of commutative monoid congruences. Lifting to the monoid algebra produces a decomposition theory of binomial ideals that works over non-algebraically closed fields.
