摘要
For a given hereditary abelian category satisfying some finiteness conditions,in certain twisted cases it is shown that the modified Ringel-Hall algebra is isomorphic to the naive lattice algebra and there exists an epimorphism from the modified Ringel-Hall algebra to the lattice algebra.Furthermore,the kernel of this epimorphism is described explicitly.Finally,we show that the naive lattice algebra is invariant under the derived equivalences of hereditary abelian categories.
For a given hereditary abelian category satisfying some finiteness conditions, in certain twisted cases it is shown that the modified Ringel-Hall algebra is isomorphic to the naive lattice algebra and there exists an epimorphism from the modified Ringel-Hall algebra to the lattice algebra. Furthermore, the kernel of this epimorphism is described explicitly. Finally, we show that the naive lattice algebra is invariant under the derived equivalences of hereditary abelian categories.
基金
supported by National Natural Science Foundation of China(Grant No.11701473)
Youth Talent Foundation of Fuyang Normal University(Grant No.rcxm201803)。
