环与模的 Cospiral 维数
The Cospiral Demension of Modules and Rings
DOI: 10.12677/AAM.2022.113108, PDF, HTML, 下载: 208  浏览: 293  国家自然科学基金支持
作者: 顾 醒, 吕家凤*：浙江师范大学，数学与计算机科学学院，浙江 金华
关键词: Level 模；Cospiral 维数；Cospiral 包络；Level 覆盖；Level Module； Cospiral Dimension； Cospiral Envelope； Level Cover
摘要: 本文主要研究了模与环的 level 模右正交类的维数，称为 cospiral 维数, 共分为三个部分。第一部分给出了 cospiral 的定义及一些一般的结果；第二部分对 cospiral 模作了等价刻画； 第三部分研究了 cospiral 模在交换环下的应用。
Abstract: In this paper, we mainly study right orthogonal classes of level module. It is called cospiral module. The paper is divided into four parts. Firstly, we introduce the notion of the cospiral modules and some general results. Secondly, some equivalent char- acterizations of cospiral modules are given. Thirdly, we discuss applications in the commutative ring of cospiral modules.
文章引用：顾醒, 吕家凤. 环与模的 Cospiral 维数[J]. 应用数学进展, 2022, 11(3): 1003-1012. https://doi.org/10.12677/AAM.2022.113108

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