A Note on Left Cocyclic Modules
We explore some properties of cocyclic modules and rings. We establish when every cyclic module is cocyclic. In addition, we characterize the case in which every cocyclic module embeds in a free module. Finally, we give the necessary conditions for a class of cocyclic modules to be closed under quotients and projective covers.
Authors
- Tania Gabriela Pérez-Quijano
- Alejandro Alvarado-García (ORCID: https://orcid.org/0000-0003-3967-8997)
- César Cejudo-Castilla (ORCID: https://orcid.org/0000-0002-5339-9428)
- Ivan Fernando Vilchis-Montalvo (ORCID: https://orcid.org/0000-0001-8082-6969)
Institutions
- Benemérita Universidad Autónoma de Puebla (MX)
- Universidad Nacional Autónoma de México (MX)
Publication Details
- Journal
- Contemporary Mathematics
- Published
- 2025-10-10
- DOI
- https://doi.org/10.37256/cm.6520256497
- Primary Topic
- Organic Chemistry Cycloaddition Reactions
- Type
- article
- Field-Weighted Citation Impact
- 0.00