Morita Theory for Derived Categories
Morita Theory for Derived Categories
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DOI：
10.1112/jlms/s2-39.3.436
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发表时间：
1989-06
影响因子：
1.2
通讯作者：
J. Rickard
中科院分区：
文献类型：
--
作者：
J. Rickard
在过去的几年里。多年来，几个对有限维代数表示论感兴趣的数学家已经开发出一种称为“倾斜”的技术。给定一个代数，我们可以取一个“倾斜模”的自同态环，得到一个不同的代数，虽然不是森田等价的，但有一个类似的模范畴。我们参考[4，10]对这一理论的阐述。A-模T是倾斜模的条件是：T的投射维数至多为1，Ext（r，T）为零，且存在短正合列
Over the past few. years, several mathematicians interested in the representation theory of finite-dimensional algebras have developed a technique called'tilting'. Given one algebra, one can take the endomorphism ring of a'tilting module'to get a different algebra which, although not Morita equivalent, has a similar module category. We refer to [4, 10] for expositions of this theory. The conditions for a A-module T to be a tilting module are that T should have projective dimension at most one, Ext^ r, T) should be zero, and there should be a short exact sequence