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Operators Between Classes of Modules Given by Preradicals

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Abstract

Given a preradical we obtain operators between classes modules with closure properties. These operators turn out to be prenuclei and under suitable conditions nuclei. In particular, for the lattices of natural and conatural classes we obtain some nice properties and characterize some classes of rings.

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Acknowledgements

The authors would like to express their gratitude to the referee for the time and attention devoted to our work. The referee’s suggestions were very helpful and improved the manuscript.

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Correspondence to Ivan Fernando Vilchis Montalvo.

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Communicated by George Janelidze.

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Alvarado García, A., Cejudo Castilla, C., Medina Bárcenas, M. et al. Operators Between Classes of Modules Given by Preradicals. Appl Categor Struct 31, 1 (2023). https://doi.org/10.1007/s10485-022-09702-z

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  • DOI: https://doi.org/10.1007/s10485-022-09702-z

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