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Mini-course

By Agnes-Gomez, 25 September, 2025

☝️ Amir Mafi, one of the 12 laureates of the CIMPA-ICTP Research in Pairs programme, is a professor at University of Kurdistan, Iran.

This course was filmed at CRM (Barcelona, Spain).

"Topics on Monomials and Polymatroidal Ideals" (1/4)

Abstract: Let R = K[x1, . . . , xn] be a polynomial ring in n variables over a field K and I be a monomial ideal of R. Let astab(I) and dstab(I) be the smallest integers l and k, for which Ass(I l ) and depth(R/I k ) stabilize, respectively. In this presentation, the goal is to introduce and study some basic concepts from combinatorial commutative algebra. In particular, we concentrate on property of polymatroidal ideals and astab(I) and dstab(I).

Click on this link to access the playlist containing the other parts of this online course.