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math.AC2018
In the Shadows of a hypergraph: looking for associated primes of powers of squarefree monomial ideals
Erin Bela, Giuseppe Favacchio, Nghia Tran
The aim of this paper is to study the associated primes of powers of squarefree monomial ideals. Hypergraphs and squarefree monomial ideals are strongly connected. The cover ideal…
math.AC2018
The Hochschild cohomology of square-free monomial complete intersections
Nghia T. H. Tran, Emil Sköldberg
We determine the Hochschild cohomology algebras of the square-free monomial complete intersections. In particular, we provide a formula for the cup product which gives the cohomolo…