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math.AC2026
The Mendez-Pinto-Villarreal Conjecture for some classes of monomial ideals
Paromita Bordoloi, Kanoy Kumar Das, Rajiv Kumar
Characterizing when the symbolic and ordinary powers of an ideal coincide is a central problem in commutative algebra, and ideals satisfying this property are called Simis ideals.…
math.AC2026
Simis and packing properties of Alexander dual of connected ideals
Om Prakash Bhardwaj, Kanoy Kumar Das, Rutuja Sawant
In this article, we investigate when the ordinary and symbolic powers of the Alexander dual of connected ideals of graphs coincide, and provide a complete classification of all suc…