Modules over formal matrix rings
Modules over formal matrix rings
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DOI：
10.1007/s10958-010-0133-5
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发表时间：
2010-10
影响因子：
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通讯作者：
P. Krylov;A. Tuganbaev
中科院分区：
文献类型：
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作者：
P. Krylov;A. Tuganbaev
本文的工作包含了形式矩阵环上模的一些新的和已知的结果。在环论中，各种矩阵环起着重要的作用。首先，我们指的是形式矩阵环。形式矩阵环推广了给定环上的n阶矩阵环的概念。一类重要的形式矩阵环由Morita context环组成（例如，见[41]，[34，Sec. 18 C]或Sec. 8本文件）。形式矩阵环的类包含三角矩阵环的一个可观的子类。这些环经常出现在Artin代数的表示理论中（例如，见[4]）;它们提供了具有非对称性质的环的例子（例如，见[25，51]）。书[15]的一节专门讨论三角矩阵的环。
This work contains some new and known results on modules over formal matrix rings. The main results are presented with proofs.In ring theory, various matrix rings play an important role. Above all, we mean formal matrix rings. Formal matrix rings generalize the notion of matrix rings of order n over a given ring. An important class of formal matrix rings consists of Morita context rings (eg, see [41],[34, Sec. 18C], or Sec. 8 of the present paper). The class of formal matrix rings contains an appreciable subclass of triangular matrix rings. These rings often appear in the representation theory of Artinian algebras (eg, see [4]); they provide examples of rings with asymmetrical properties (eg, see [25, 51]). One section of the book [15] is devoted to rings of triangular matrices.