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On compactness and cocompactness conditions for R-tors,R-pr and (big) lattices of classes of modules |
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| Authors: | Hugo Alberto Rincón-Mejía José Patricio Sánchez-Hernández Martha Lizbeth Shaid Sandoval-Miranda Manuel Zorrilla-Noriega |
| Affiliation: | 1. Facultad de Ciencias, Universidad Nacional Autónoma de México, México, D.F., Mexico;2. hurincon@gmail.com;4. Facultad de Ciencias Exactas, Universidad Juárez del Estado de Durango, Durango, Dgo, México;5. Departamento de Matemáticas, Universidad Autónoma Metropolitana - Unidad Iztapalapa, Ciudad de México, México |
| Abstract: | We study conditions related to compactness and cocompactness for some (big) lattices of classes of modules and preradicals. Also, we give some characterizations in terms of rings and modules. |
| Keywords: | Big lattices compactness cocompactness R-pr R-tors classes of modules preradicals |