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Rings Whose Every Right Ideal is a Finite Direct Sum of Automorphism-Invariant Right Ideals
Siberian Mathematical Journal ( IF 0.7 ) Pub Date : 2020-03-01 , DOI: 10.1134/s0037446620020019
A. N. Abyzov , T. H. Phan , C. Q. Truong

We study the rings R whose every right ideal is a finite direct sum of automorphism-invariant right R -modules. These rings are called right Σ- a -rings. We find a representation in the form of block upper triangular rings of formal matrices for the indecomposable right Artinian right hereditary right Σ- a -rings.

中文翻译:

其每个正确理想都是自同构不变正确理想的有限直和的环

我们研究了环 R,其每个正确的理想都是自同构不变的右 R 模的有限直和。这些环称为右 Σ-a-环。我们找到了形式矩阵的块上三角环形式的表示形式,用于不可分解的权利 Artinian 权利遗传权利 Σ-a 环。
更新日期:2020-03-01
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