Reza Abdolmaleki

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math.AC2026

Prescribed Initial Behavior of $I^¼ (I^{k})$

Reza Abdolmaleki, Shinya Kumashiro

It is well known that for every graded ideal $I$ , the numbers of minimal generators $I^¼ (I^{k})$ of its powers of $I$ 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 $A$ be a commutative Noetherian local ring with maximal ideal $m$ , and let $I$ be an ideal. The fiber cone is then an image of the polynomial ring over the residue f…

Prescribed Initial Behavior of I^¼(Ik)

The Non-Pure Dual Exchange Property in Low Dimensions

Defining ideals of Cohen-Macaulay fiber cones

Prescribed Initial Behavior of $I^¼ (I^{k})$