3 papers
math.AC2026
Prescribed Initial Behavior of
Reza Abdolmaleki, Shinya Kumashiro
It is well known that for every graded ideal , the numbers of minimal generators of its powers of are eventually increasing. However, its initial behavior can be s…
math.AC2026
The Non-Pure Dual Exchange Property in Low Dimensions
Reza Abdolmaleki, Shinya Kumashiro
We investigate monomial ideals satisfying the non-pure dual exchange property, a notion introduced in connection with componentwise polymatroidal ideals. Our contributions are twof…
math.AC2024
Defining ideals of Cohen-Macaulay fiber cones
Reza Abdolmaleki, Shinya Kumashiro
Let be a commutative Noetherian local ring with maximal ideal , and let be an ideal. The fiber cone is then an image of the polynomial ring over the residue f…