A.R. Aliabad, F. Azarpanah and M. Namdari, Rings of continuous functions vanishing at infinity, Comment. Mat. Univ. Carolin. 45 (2004), no. 3, 519--533.
A.R. Aliabad, F. Azarpanah and A. Taherifar, Relative z-ideals in commutative rings, Comm. Algebra 41 (2013), no. 1, 325--341.
A.R. Aliabad and R. Mohamadian, On sz◦-ideals in polynomial rings, Comm. Algebra 39 (2011), no. 2, 701--717.
F. Azarpanah, Essential ideals in C(X), Period. Math. Hungar. 31 (1995), no. 2, 105--112.
F. Azarpanah and R. Mohamadian, pz-ideals and p z◦-ideals in C(X), Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 6, 989--996.
F. Azarpanah and A. Taherifar, Relative z-ideals in C(X), Topology Appl. 156 (2009) 1711--1717.
R.N. Ball and J. Walters-Wayland, C- and C-quotients in pointfree topology, Dissertationes Math. (Rozprawy Mat.) 412 (2002) 62 pages.
B. Banaschewski, The real numbers in pointfree topology, Textos de Mat. Ser. B 12 (1997) 1--96.
T. Dube, Concerning P-frames, essential P-frames, and strongly zero-dimensional frames, Algebra Universalis 61 (2009), no. 1, 115--138.
T. Dube, Real ideals in pointfree rings of continuous functions, Bull. Aust. Math. Soc. 83 (2011), no. 2, 338--352.
A.A. Estaji, z-weak ideals and prime weak ideals, Iran. J. Math. Sci. Inform. 7 (2012), no. 2, 53--62.
A.A. Estaji and O.A.S. Karamzadeh, On C(X) modulo its socle, Comm. Algebra 31 (2003), no. 4, 1561--1571.
A.A. Estaji, A. Karimi and M. Abedi, Zero sets in pointfree topology and strongly z-ideals, Bull. Iranian Math. Soc. 41 (2015), no. 5, 1071--1084.
A.A. Estaji, A. Karimi Feizabadi and M. Zarghani, The ring of real-continuous functions on a topoframe, Categ. Gen. Algebr. Struct. Appl. 4 (2016), no. 1, 75--94.
L. Gillman and M. Jerison, Rings of Continuous Functions, Springer-Verlag, New York, 1976.
A. Hager, Cozero fields, Confer. Sem. Mat. Univ. Bari 175 (1980) 23 pages.
E. Hewitt, Rings of real-valued continuous functions, I, Trans. Amer. Math. Soc. 64 (1948) 45--99.
O.A.S. Karamzadeh and M. Rostami, On the intrinsic topology and some related ideals of C(X), Proc. Amer. Math. Soc. 93 (1985), no. 1, 179--184.
A. Karimi Feizabadi, A.A. Estaji and M. Zarghani, The ring of real-valued functions on a frame, Categ. Gen. Algebr. Struct. Appl. 5 (2016), no. 1, 85--102.
C.W. Kohls, Ideals in rings of continuous functions, Fund. Math. 45 (1957) 28--50.
G. Mason, z-ideals and prime ideals, J. Algebra 26 (1973) 280-297.
A. Rezaei Aliabad and R. Mohamadian, On z-ideals and z◦-ideals of power series rings, J. Math. Ext. 7 (2013), No. 2, 93-108.
M. Zarghani, A.A. Estaji and A. Karimi Feizabadi, Modified pointfree topology, Preprint.