solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看3256次
A generalized Dade's Lemma for local rings. (arXiv:1601.01238v2 [math.AC] UPDATED)
来源于:arXiv
We prove a generalized Dade's Lemma for quotients of local rings by ideals
generated by regular sequences. That is, given a pair of finitely generated
modules over such a ring with algebraically closed residue field, we prove a
sufficient (and necessary) condition for the vanishing of all higher Ext or Tor
of the modules. This condition involves the vanishing of all higher Ext or Tor
of the modules over all quotients by a minimal generator of the ideal generated
by the regular sequence. 查看全文>>