1. Carboni A., Mantovani S., "An Elementary Characterization of Categories of Separated Objects", J. Pure and Appl. Alg., 89 (1993) 63-92.## 2. Clementino M. M., Dikranjan D., Tholen W., "Torsion Theories and Radicals in Normal Categories", J. Algebra 305 (2006) 98-129. ## 3. Dikranjan D., Tholen W., "Categorical Structure of Closure Operators. Kluwer", Netherlands, (1995). ## 4. Ebrahimi M. M., "On Ideal Closure Operators of M-Sets", Southeast Asian Bull, of Math., 30 (2006) 439-444. ## 5. Golchin A., Renshow J., "Periodic Monoids over which all Flat Cyclic Right Acts Satisfy Condition (P)", Semigroup Forum, 54 (2) (1997) 261-263. ## 6. Golchin A., "On Flatness of Acts", Semigroup Forum, 67 (2003) 262-270. ## 7. Haddadi M., Sheykholislamia S. M. N., "Radical-Injectivy in the Category S-Act", arXiv:1806.07077v1. ## 8. Jackson M., "A Sheaf Theoretic Approach to Measure Theory", PhD Thesis, University of Pittsburgh (2006). ## 9. Kashu A. I., "On Preradicals Associated to Principal Functors of Module Categories", I, Bul. A. S. R. M., Matematica, 2 (60) (2009) 62-72. ## 10. Khanjanzadeh Z., "Topologies on Topos M-Act and on Some Models of SDG", Ph.D. Thesis, Semnan University, March (2017). ## 11. Khanjanzadeh Z., Madanshekaf A., "Lawvere-Tierney Sheaves, Factorization Systems, Sections and j-essential Monomorphisms in a Topos", Italian J. Pure Appl. Math., 39 (2018) 55-72. ## 12. Khanjanzadeh Z., Madanshekaf A., "Weak Ideal Topology in the Topos of Right Acts over a Monoid", Comm. Alg., 46 (5) (2018) 1868-1888. ## 13. Khanjanzadeh Z., Madanshekaf A., "Weak Topologies on Toposes", Bull. Iran. Math. Soc. (2020). https://doi.org/10.1007/s41980-020-00393-7. ## 14. Kilp M., Knauer U., Mikhalev A., "Monoids, Acts and Categories", Walter de Gruyter, Berlin, New York, (2000). ## 15. Mac Lane S., Moerdijk I., "Sheaves in Geometry and Logic", Springer-Verlag, New York, (1992). ## 16. Mahmoudi M., Shahbaz L., "Characterizing Semigroups by Sequentially Dense Injective Acts", Semigroup Forum, 75 (2007) 116-128. ## 17. Moghaddasi Gh., Haddadi M., Delavari S., "On Injectivity of Acts", U.P.B. Sci. Bull., Series A, 79 (4) (2017) 189-198. ## 18. Nakayama K., "Topologies on Quantum Topoi Induced by Quantization", J. Math. Phys., 54 (2013) 072102. ## 19. Nakayama K., "Topos Quantum Theory on Quantization-Induced Sheaves", J. Math. Phys., 55 (2014) 102103. ## 20. Wiegandt R., "Radical and Torsion Theory for Acts", Semigroup Forum, 72 (2006) 312-328. ##
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