6 citations · 8 across the 5 of their papers we have counts for
7 papers
A truncated minimal free resolution of the residue field
Van C. Nguyen, Oana Veliche
In a paper in 1962, Golod proved that the Betti sequence of the residue field of a local ring attains an upper bound given by Serre if and only if the homology algebra of the Koszu…
McKay Matrices for Finite-dimensional Hopf Algebras
Georgia Benkart, Rekha Biswal, Ellen Kirkman +2
For a finite-dimensional Hopf algebra , the McKay matrix of an -module encodes the relations for tensoring the simple -modules with . We prove results about t…
The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras
Joanna Meinel, Van C. Nguyen, Bregje Pauwels +2
We determine the Gerstenhaber structure on the Hochschild cohomology ring of a class of self-injective special biserial algebras. Each of these algebras is presented as a quotient…
Finite generation of some cohomology rings via twisted tensor product and Anick resolutions
Van C. Nguyen, Xingting Wang, Sarah Witherspoon
Over a field of prime characteristic , we prove that the cohomology rings of some pointed Hopf algebras of dimension are finitely generated. These are Hopf algebras aris…
Dominant dimension and tilting modules
Van C. Nguyen, Idun Reiten, Gordana Todorov +1
We study which algebras have tilting modules that are both generated and cogenerated by projective-injective modules. Crawley-Boevey and Sauter have shown that Auslander algebras h…
Gerstenhaber brackets on Hochschild cohomology of twisted tensor products
Lauren Grimley, Van C. Nguyen, Sarah Witherspoon
We construct the Gerstenhaber bracket on Hochschild cohomology of a twisted tensor product of algebras, and, as examples, compute Gerstenhaber brackets for some quantum complete in…