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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 su…
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…