3 papers
math.AC2026
On the Regularity of Dominant and Almost Complete Intersection Monomial Ideals
Amir Mafi, Rando Rasul Qadir
Let be a polynomial ring in variables over a field , and let be a monomial ideal of . If is an almost complete intersection, then we provi…
math.AC2025
Betti numbers and almost complete intersection monomial ideals
Amir Mafi, Rando Rasul Qadir
Let be the polynomial ring in variables over a field and let be a monomial ideal of . In this paper, we present an explicit formula for the Be…
math.AC2025
Sequentially Cohen-Macaulay and pretty clean monomial ideals
Amir Mafi, Rando Rasul Qadir, Hero Saremi
Let be the polynomial ring in variables over a field and be monomial ideal of . In this paper, we show that if is a generic monomial ideal…