1. M. Medina-Bárcenas, H. Rincón Mejía, "\(\mathfrak{m}\)-Endoregular lattices", Communications in Algebra. Published online. Article ArXiv
   
2. M. Medina-Bárcenas, H. Rincón Mejía, "\(\mathfrak{m}\)-Baer and \(\mathfrak{m}\)-Rickart lattices", Order. Published online. Article ArXiv
3. A. Alvarado-García, C. Cejudo-Castilla, M. Medina-Bárcenas, F. Vilchis-Montalvo, "Operators between classes of modules given by preradicals", Applied Categorical Structures, 31(1), 2023. Article
4. J.A. Beachy, M. Medina-Bárcenas, "The nilpotency of the prime radical of a Goldie module", Bulletin of the Korean Mathematical Society, 60(1), 2023, 185--201 Article  ArXiv 
5. J. Castro Pérez, M. Medina-Bárcenas, "Johns modules and quasi-Johns modules", Hacettepe Journal of Mathematics and Statistics, 52(4), 2022, 1029--1046  DOI: 10.15672/hujms.902650, 18 pages.​ Article
6. G. Lee, M. Medina-Bárcenas, "Finite \(\Sigma\)-Rickart modules", Communications in Algebra, 50(9) , 2022, 4074--4094 DOI:10180/00927872.2022.2057518, 21 pages. ArXiv Article
7. M. Medina-Bárcenas, M.L.S. Sandoval-Miranda, A. Zaldívar-Corichi, "On the de Morgan's laws for modules". Applied Categorical Structures, 30, 2022, 265--286. ArXiv Article
8. M. Medina-Bárcenas, D.K. Tütüncü, Y. Kuratomi, "A study on dual square free modules", Algebra and Discrete Mathematics, 32(2), 2021, 267--279. Article
9. J.A. Beachy, M. Medina-Bárcenas, "Fully prime modules and fully semiprime modules". Bulletin of the Korean Mathematical Society, 57(5), 2020, 1177--1193.  Article
10. M. Medina-Bárcenas, L. Morales-Callejas, M.L.S. Sandoval-Miranda, A. Zaldívar-Corichi, "On Strongly harmonic and Gelfand modules". Communications in Algebra, 48(5), 2020, 1985--2013. ArXiv Article.
11. G. Lee, M. Medina-Bárcenas, "\(\Sigma\)-Rickart modules". Journal of Algebra and its Applications, 19(11), 2020, 23pp. Article.
12. M. Medina Bárcenas, H. Sim, "Abelian endoregular modules". Journal of Algebra and its Applications, 19(11), 2020,  ArXiv Article. 
13. J. Castro Pérez, M. Medina Bárcenas, J, Ríos Montes, A. Zaldívar Corichi, "Boolean perspectives of idioms and the Boyle derivative", Applied Categorical Structures, 27,(1) 2019, 65--84. ArXiv Article
14. J. Castro Pérez, M. Medina Bárcenas, J, Ríos Montes, A. Zaldívar Corichi, "Boyle's Conjecture and Perfect Localizations", Communications in Algebra, 46(12), 2018, 5234--5240. ArXiv Article
15. M. Medina Bárcenas, Ç. Özcan, "Primitive Submodules, Co-semisimple and Regular Modules", Taiwanese Journal of Mathematics, 22(3), 2018, 545--565. Article
16. J. Castro Pérez, M. Medina Bárcenas, J, Ríos Montes, A. Zaldívar Corichi, "On the structure of Goldie modules", Communications in Algebra, 46(7), 2018, 3112--3126. ArXiv Article
17. M. Medina-Bárcenas, L. Morales-Callejas, M.L.S. Sandoval-Miranda, A. Zaldívar-Corichi, "Attaching topological spaces to a module I: Sobriety and Spatiality", Journal of Pure and Applied Algebra, 222(5), 2018, 1026--1048. ArXiv Article
18. M. Medina Bárcenas, J, Ríos Montes, A. Zaldívar Corichi, "Some operators and dimensions in modular meet-continuous lattices", Journal of Algebra and its Applications, 17(5), 2018 ArXiv Article
19. J. Castro Pérez, M. Medina Bárcenas, J, Ríos Montes, "Modules with ascending chain condition on annihilators and Goldie modules", Communications in Algebra, 45(6), 2016, 2334--2349. ArXiv Article
20. M. Medina-Bárcenas, A. Zaldívar-Corichi, M.L.S. Sandoval-Miranda,  "A generalization of quantales with applications to modules and rings", Journal of Pure and Applied Algebra, 220(5), 2016, 1837--1857.ArXiv Article  
21. J. Castro Pérez, M. Medina Bárcenas, J, Ríos Montes, A. Zaldívar Corichi, "On semiprime Goldie modules", Communications in Algebra, 44(11), 2016, 4749--4768. ArXiv Article

Submitted papers and Preprints

• "A point-free version of torsionfree classes and the Goldie torsion theory", with M.LS. Sandoval Miranda and A. Zaldívar Corichi. ArXiv Submitted
  
• "Reduced rank in \(\sigma[M]\)", with J.A. Beachy. ArXiv In preparation.
  
• "Morita invariance of universal localization", with J.A. Beachy. In preparation.
• "On quasi-duo modules", with Ç. Özcan. In preparation.