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• [1] F. Azarpanah and O.A.S. Karamzadeh, Algebraic characterization of some discon- nected spaces, Italian. J. Pure Appl. Math. 12, 155–168, 2002.
• [2] F. Azarpanah, O.A.S. Karamzadeh and S. Rahmati, C(X) VS. C(X) modulo its socle, Colloq. Math. 3, 315–336, 2008.
• [3] T. Dube, Contracting the socle in rings of continuous functions, Rend. Semin. Mat. Univ. Padova, 123, 37–53, 2010.
• [4] R. Engelking, General topology, Berlin, Germany, Heldermann Verlag, 1989.
• [5] A.A. Estaji and O.A.S. Karamzadeh, On C(X) modulo its socle, Comm. Algebra. 31, 1561–1571, 2003.
• [6] M. Ghadermazi, O.A.S. Karamzadeh and M. Namdari, On the functionally countable subalgebra of C(X), Rend. Sem. Mat. Univ. Padova, 129, 47–69, 2013.
• [7] M. Ghadermazi, O.A.S. Karamzadeh and M. Namdari, C(X) versus its functionally countable subalgebra, to appear in the Bull. Iran. Math. Soc. 2018.
• [8] S. Ghasmzadeh, O.A.S. Karamzadeh and M. Namdari, The super socle of the ring of continuous functions, Math. Slovaca, 67 (4), 1001–1010, 2017.
• [9] L. Gillman and M. Jerison, Rings of continuous functions, Springer-Verlag, 1976. [10] K.R. Goodearl, Von Neumann regular rings, Pitman, 1979.
• [11] S. Mehran and M. Namdari, The -super socle of the ring of continuous function, Categ. Gen. Algebr. Struct. Appl. 6, 1–13, 2017.
• [12] R. Mehri and R. Mohamadian, On the locally subalgebra of C(X) whose local domain is cocountable, Hacet. J. Math. Stat. 46 (6), 1053-1068, 2017.
• [13] O.A.S. Karamzadeh and M. Rostami, On the intrinsic topology and some related ideals of C(X), Proc. Amer. Math. Soc. 93, 179–184, 1985.
• [14] O.A.S. Karamzadeh, M. Namdari and S. Soltanpour, On the locally functionally countable subalgebra of C(X), Appl. Gen. Topol. 16 (2), 183–207, 2015.
• [15] M. Namdari and S. Soltanpour, Locally socle of C(X), J. Adv. Math. Model. 4 (2), 87–99, 2014.