We consider the Zn-Galois covering An of the algebra A introduced by F. Xu [Adv. Math., 2008, 219： 1872-1893]. We calculate the dimensions of all Hochschild cohomology groups of An and give the ring structure of the ...We consider the Zn-Galois covering An of the algebra A introduced by F. Xu [Adv. Math., 2008, 219： 1872-1893]. We calculate the dimensions of all Hochschild cohomology groups of An and give the ring structure of the Hochschild cohomology ring modulo nilpotence. As a conclusion, we provide a class of counterexamples to Snashall-Solberg＇s conjecture.展开更多
文摘We consider the Zn-Galois covering An of the algebra A introduced by F. Xu [Adv. Math., 2008, 219： 1872-1893]. We calculate the dimensions of all Hochschild cohomology groups of An and give the ring structure of the Hochschild cohomology ring modulo nilpotence. As a conclusion, we provide a class of counterexamples to Snashall-Solberg＇s conjecture.
