The cones associated to some tranversal polymatroids.
The effect of quadratic transformations on degree functions.
The equations of Rees algebras of ideals with linear presentation.
The group of automorphisms of a commutative algebra.
The -transform and its dual with applications to Prüfer extensions
The strong persistence property and symbolic strong persistence property
Let be an ideal in a commutative Noetherian ring . Then the ideal has the strong persistence property if and only if for all , and has the symbolic strong persistence property if and only if for all , where denotes the th symbolic power of . We study the strong persistence property for some classes of monomial ideals. In particular, we present a family of primary monomial ideals failing the strong persistence property. Finally, we show that every square-free monomial ideal has the...
Two-generated ideals of linear type.