A Symmetric Counterexample to the Snashall--Solberg Conjecture
Kai Wang, Guodong Zhou
Abstract
It is shown that the trivial extension of the Xu--Snashall algebra is a symmetric counterexample to the Snashall--Solberg conjecture, which states that the Hochschild cohomology ring of a finite-dimensional algebra modulo nilpotence is a finitely generated algebra. To the best of our knowledge, this is the first known selfinjective counterexample.
Create a lesson
Related papers
Geometric K-homology and operator K-theory for Hilbert manifolds
Doman Takata
Mixed Tate motives over number fields
Alexander Kupers, Daniil Rudenko, Ismael Sierra
The integral homology of SL2(Z[1/n])
Isadora Vanzella Picinini, Behrooz Mirzaii
Finite-coefficient K-theory of henselian valued fields and Gersten injectivity
Niels Feld
Deformations and homotopy theory of Rota-Baxter Lie algebras
Jun Chen, Kai Wang, Guodong Zhou
On the abelianization of congruence subgroups of SL2 over S-integers
Pedro H. Amorim, Isadora V. Picinini, Bruno R. Ramos et al.