[1] M. Abedi, Rings of quotients of the ring R(L), Houston J. Math. 47 (2021), no. 2, 271--293.
[2] M. Abedi, Some notes on z-ideal and d-ideal in R(L), Bull. Iranian Math. Soc. 46 (2020), no. 3, 593--611.
[3] A. A. Estaji, A. Karimi Feizabadi and M. Abedi, Zero sets in pointfree topology and strongly z-ideals, Bull. Iranian Math. Soc. 41 (2015), no. 5, 1071--1084.
[4] A. R. Aliabad, F. Azarpanah and M. Paimann, Relative z-ideals and z0-ideals in the factor rings of C(X), Bull. Iranian Math. Soc. 36 (2010), no. 1, 211--226.
[5] F. Azarpanah and A. Taherifar, Relative z-ideals in C(X), Topology Appl. 156 (2009), no. 9, 1711--1717.
[6] F. Azarpanah, O. A. S. Karamzadeh and A. Rezai Aliabad, On z0-ideals in C(X), Fund. Math. 160 (1999), no. 1, 15--25.
[7] B. Banaschewski, The real numbers in pointfree topology, Textos de Mathemática (Series B), 12, Universidade de Coimbra, Departamento de Matemtica, Coimbra, 1997.
[8] B. Banaschewski, On the pointfree counterpart of the local definition of classical continuous maps, Categ. Gen. Algebr. Struct. Appl. 8 (2018), no. 1, 1--8.
[9] T. Dube, Concerning P-frames, essential P-frames, and strongly zero-dimensional frames, Algebra Univers. 61 (2009), no. 1, 115--138.
[10] T. Dube, Some algebraic characterizations of F-frames, Algebra Univers. 62 (2009), no. 2-3, 273--288.
[11] T. Dube, Some ring-theoretic properties of almost P-frames, Algebra Univers. 60 (2009), no. 2, 145--162.
[12] T. Dube, Contracting the Socle in Rings of Continuous Functions, Rend. Sem. Mat. Univ. Padova 123 (2010) 37--53.
[13] T. Dube and O. Ighedo, On Z-ideals of pointfree function rings, Bull. Iranian Math. Soc. 40 (2014), no. 3, 657--675.
[14] T. Dube and J. Walters-Wayland, Coz-onto frame maps and some applications, Appl. Categ. Structures 15 (2007), 1-2, 119--133.
[15] A. A. Estaji, z- weak ideals and prime weak ideals, Iran. J. Math. Sci. Inform. 7 (2012), no. 2, 53--62.
[16] M. W. Evans, Exoteric homomorphism, J. Pure Appl. Algebra 49 (1987), no. 1-2, 117--131
[17] N. J. Fine, L. Gillman and J. Lambek, Rings of quotients of rings of functions, Lecture Note Series, McGill University Press, Montreal, Que. 1966.
[18] R. E. Johnson, The extended centralizer of a ring over a module, Proc. Amer. Math. Soc. 2 (1951) 891--895.
[19] J. Picado and A. Pultr, Frames and Locales: Topology without Points, Frontiers in Mathematics, Birkhauser/Springer, Basel, 2012.
[20] A. R. Salehi, Multiplicative closed ξ-subsets and rings of fractions of C(X), Journal of Advances in Mathematical Modeling 12 (2022), no. 1, 45--53.
[21] R. Y. Sharp, Steps in commutative algebra, Cambridge University Press, (2000).
[22] Y. Utumi, On quotient rings, Osaka J. Math. 8 (1956) 1--18.