论文标题
分级环的莫里塔等效性
Morita equivalence for graded rings
论文作者
论文摘要
经典的莫里塔（Morita）定理确定了三个陈述的等效性，涉及分类等效性，有限矩阵环之间的同构和双模同性形态。第四个等效陈述（稍后建立）涉及无限基质环之间的同构。在我们的主要结果中，我们建立了涉及分级分类等效性的类似陈述，有限基质环的角落，分级双模同性形态和无限基质基质环之间分级的同构。
The classical Morita Theorem for rings established the equivalence of three statements, involving categorical equivalences, isomorphisms between corners of finite matrix rings, and bimodule homomorphisms. A fourth equivalent statement (established later) involves an isomorphism between infinite matrix rings. In our main result, we establish the equivalence of analogous statements involving graded categorical equivalences, graded isomorphisms between corners of finite matrix rings, graded bimodule homomorphisms, and graded isomorphisms between infinite matrix rings.
