论文标题
在伪吸收的主要乘法模块上回顾戒指
On pseudo-absorbing primary multiplication modules over pullback rings
论文作者
论文摘要
由于L. S. Levy而引起的著名结果，可以分类所有有限生成的不可分解的模块，而不是Dedekind般的戒指。这促使我们概述了一种在某些类型的回调环上具有有限维度的不可分解的原始乘法模块分类的方法。在本文中，我们对所有不可分解的假伪乘积模块进行了完整的分类，直至同构，并在两个估值域的回调域中具有有限维度的顶部，具有相同的残基领域。我们还发现了在此类域上伪造的一级乘法模块和纯净的注射模块之间的连接。
A famous result due to L. S. Levy provides a classification of all finitely generated indecomposable modules over Dedekind-like rings. This motivates us to outline an approach to the classification of indecomposable pseudo-absorbing primary multiplication modules with finite-dimensional top over certain kinds of pullback rings. In this paper, we give a complete classification, up to isomorphism, of all indecomposable pseudo-absorbing primary multiplication modules with finite-dimensional top over a pullback of two valuation domains with the same residue field. We also find a connection between pseudo-absorbing primary multiplication modules and pure-injective modules over such domains.
