arXiv subjects

Nghia T. H. Tran

Publications and source records attributed to Nghia T. H. Tran.

2 recordsLinked to original sources

arXiv2019

The Hochschild cohomology ring of the numerical semigroup algebras of embedding dimension two

Let $a$ and $b$ be two coprime positive integers and $k$ an arbitrary field. We determine the ring structure of the Hochschild cohomology of the numerical semigroup algebras $k[s^{a},s^{b}]$ of embedding dimension two (thus also complete intersections) in terms of generators and relations. In addition, we compute the Hilbert series for this cohomology ring.

math.AC↗

arXiv2018

The Hochschild cohomology of square-free monomial complete intersections

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 cohomology module an algebra structure and then we describe this structure in terms of generators and relations. In addition, we compute the Hilbert series of the Hochschild cohomology of these algebras.

math.AC↗