On hypercyclic rings

被引：0
作者：
Lomp, Christian [1 ]
Yousif, Mohamed [2 ]
Zhou, Yiqiang [3 ]
机构：
[1] Univ Porto, Fac Ciencias, Dept Matemat, CMUP, Rua Campo Alegre S-N, P-4169007 Porto, Portugal
[2] Ohio State Univ, Dept Math, Lima, OH 45804 USA
[3] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 08期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Hypercyclic ring; hypersimple ring; quasi-duo ring; essentially quasi-duo ring; self-injective ring; perfect ring; PF-ring; QF-ring; MODULES;
D O I：
10.1142/S0219498825500513
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Hypercyclic rings are those rings over which cyclic modules have cyclic injective hulls. Such rings were introduced by Caldwell in 1966 and studied by him and Osofsky in 1968. In this paper, we revisit Osofsky's work on hypercyclic rings, highlighting some of her results and questions on the subject.
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页数：14
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