A. Mafi

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math.AC2025

Betti numbers and almost complete intersection monomial ideals

Amir Mafi, Rando Rasul Qadir

Let $R = K [x_{1}, \dots, x_{n}]$ be the polynomial ring in $n$ variables over a field $K$ and let $I$ be a monomial ideal of $R$ . In this paper, we present an explicit formula for the Be…

math.AC2025

Morse resolutions of monomial ideals and Betti splittings

Josep Ãlvarez Montaner, MarÃa LucÃa Aparicio GarcÃa, Amir Mafi

We use discrete Morse theory to study free resolutions of monomial ideals in combination with splitting techniques. We establish the minimality of such pruned resolutions for sever…