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On hypercyclic rings.

Authors :
Lomp, Christian
Yousif, Mohamed
Zhou, Yiqiang
Source :
Journal of Algebra & Its Applications. Jul2024, Vol. 23 Issue 8, p1-14. 14p.
Publication Year :
2024

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02194988
Volume :
23
Issue :
8
Database :
Academic Search Index
Journal :
Journal of Algebra & Its Applications
Publication Type :
Academic Journal
Accession number :
178020472
Full Text :
https://doi.org/10.1142/S0219498825500513