Monomial ideals
Commutative algebra Ideals (Algebra) sähkökirjat
Springer
2011
EISBN 9780857291066
Part 1: Gröbner bases.
Monomial ideals.
Monomial orders and weights.
Generic initial ideals.
The exterior algebra.
Part 2: Hilbert functions and resolutions.
Hilbert functions and the theorems of Macaulay and Kruskal-Katona.
Resolutions of monomial ideals and the Eliahou-Kervaire formula.
Alexander duality and resolutions.
Part 3: Combinatorics.
Alexander duality and finite graphs.
Powers of monomial ideals.
Shifting theory.
Discrete polymatroids.
Monomial ideals.
Monomial orders and weights.
Generic initial ideals.
The exterior algebra.
Part 2: Hilbert functions and resolutions.
Hilbert functions and the theorems of Macaulay and Kruskal-Katona.
Resolutions of monomial ideals and the Eliahou-Kervaire formula.
Alexander duality and resolutions.
Part 3: Combinatorics.
Alexander duality and finite graphs.
Powers of monomial ideals.
Shifting theory.
Discrete polymatroids.
