References
- Sudip Kumar Acharyya, Sagarmoy Bag, Goutam Bhunia, and Pritam Rooj, Some new results on functions in C(X) having their support on ideals of closed sets, Quaest. Math. 42(8) (2019), 1079–1090. doi: 10.2989/16073606.2018.1504830
- Sudip Kumar Acharyya, Kshitish Chandra Chattopadhyay, and Pritam Rooj, A Generalised version of the rings CK (X) and C∞(X)-an enquiry about when they become Noetherian, Appl. Gen. Topol. 16(1) (2015), 81–87. doi: 10.4995/agt.2015.3247
- S.K. Acharyya and S.K. Ghosh, Functions in C(X) with support lying on a class of subsets of X, Topology Proc. 35 (2010), 127–148.
- S.K. Acharyya and S.K. Ghosh, A note on functions in C(X) with support lying on an ideal of closed subsets of X, T opology Proc. 40 (2012), 0297–301.
- A.R. Aliabad and M. Parsinia, zR-ideals and z0 -ideals in subringsof RX , Iranian J. Math. Sci. Inform. 14(1) (2019), 55–67.
- F. Azarpanah, O.A.S. Karamzadeh, and R.A. Aliabad, On z0-ideals of C(X), Fund. Math. 160(1999), 15–25.
- F. Azarpanah, O.A.S. Karamzadeh, Z. Keshtkar, and A.R. Olfati, On maximal ideals of Cc(X) and the uniformity of its localizations, Rocky Mountain J. Math. 48(2) (2018), 345–382. doi: 10.1216/RMJ-2018-48-2-345
- F. Azarpanah, O.A.S. Karamzadeh, Z. Keshtkar, and A.R. Olfati, On ideals consisting entirely of zero divisors, Comm. Algebra 28 (2000), 1061–1073. doi: 10.1080/00927870008826878
- F. Azarpanah and M. Karavan, On non regular ideals and z0-ideals in C(X), Czechoslovak Math. J. 55(2) (2005), 397–407. doi: 10.1007/s10587-005-0030-0
- F. Azarpanah and M. Parsinia, On the sum of z-ideals in subrings of C(X), J. Commut. Algebra, to appear. http://projecteuclid.org/euclid.jca/1534125748.
- Sagarmoy Bag, Sudip Kumar Acharyya, and Dhananjoy Mandal, A class of ideals in intermediate rings of continuous functions, Appl. Gen. Topol. 1 (2019), 109–117. doi: 10.4995/agt.2019.10171
- P. Bhattacharjee, M.L. Knox, and W.W. Mcgovern, The classical ring of quotients of Cc(X), Appl. Gen. Topol. 15(2) (2014), 147–154. doi: 10.4995/agt.2014.3181
- L.H. Byun and S. Watson, Prime and maximal ideals in subrings of C(X), Topology Appl. 40 (1991), 45–62. doi: 10.1016/0166-8641(91)90057-S
- R.E. Chandler, Hausdorff compactifications, Marcel Dekker, New York, 1976.
- M. Ghadermazi, O.A.S. Karamzadeh, and M. Namdari, On the functionally countable subalgebras of C(X), Rend. Sem. Mat. Univ. Padova 129 (2013), 47–69. doi: 10.4171/RSMUP/129-4
- L. Gillman and M. Jerison, Rings of Continuous Functions, Van Nostrand Reinhold Co., New York, 1960.
- E. Hewitt, Rings of real-valued continuous functions I, Trans. Amer. Math. Soc. 64 (1948), 54–99. doi: 10.1090/S0002-9947-1948-0026239-9
- O.A.S. Karamzadeh and Z. Keshtkar, On c-real compact spaces, Quaest. Math. 41(8) (2018), 1135-1167. doi: 10.2989/16073606.2018.1441919
- J. Kist, Minimal prime ideals in commutative semigroups, Proc. Lond. Math. Soc. 13 (1963), 31–50. doi: 10.1112/plms/s3-13.1.31
- R. Levy, Almost P -spaces, Canad. J. Math. 29 (1977), 284-288. doi: 10.4153/CJM-1977-030-7
- P. Panman, J. Sack, and S. Watson, Correspondences between ideals and z-filters for rings of continuous functions between C∗ and C, Comment. Math. 52 (2012), 11–20.
- J.R Porter and R.G Woods, Extensions and Absolutes of Hausdorff spaces, Springer-Verlag, New York, 1988.
- L. Redlin and S. Watson, Maximal ideals in subalgebras of C(X), Proc. Amer. Math. Soc. 100(4) (1987), 763–766.
- L. Redlin and S. Watson, Structure spaces for rings of continuous functions with applications to real compactifications, Fund. Math. 152 (1997), 151–163.
- J. Sack and S. Watson, C and C∗ among intermediate rings, Topology Proc. 43 (2014), 69–82.
- J. Sack and S. Watson, Characterizing C(X) among intermediate C-rings on X, Topology Proc. 45 (2015), 301–313.
- A. Veisi, ec-filters and ec-ideals in the functionally countable subalgebra of C∗(X), Appl. Gen. Topol. 20(2) (2019), 395–405. doi: 10.4995/agt.2019.11524