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local bounded inversion; structure space; $z_A^\beta$-ideal; complete ring of functions

References:

[1] Acharyya S.K., De D.: **$A$-compactness and minimal subalgebras of $C(X)$**. Rocky Mountain J. Math. 35 (2005), no. 4, 1061–1067. DOI 10.1216/rmjm/1181069673 | MR 2178974

[2] Acharyya S.K., De D.: **An interesting class of ideals in subalgebras of $C(X)$ containing $C^*(X)$**. Comment. Math. Univ. Carolin. 48 (2007), 273–280. MR 2338095

[3] Bhattacharjee P., Knox M.L., McGovern W.W.: **The classical ring of quotients of $C_c(X)$**. Appl. Gen. Topol. 15 (2014), no. 2, 147–154. DOI 10.4995/agt.2014.3181 | MR 3267269 | Zbl 1305.54030

[4] Byun H.L., Redlin L., Watson S.: **Local bounded inversion in rings of continuous functions**. Comment. Math. Univ. Carolin. 37 (1997), 37–46. MR 1608229 | Zbl 0903.54009

[5] Byun H.L., Redlin L., Watson S.: **Local invertibility in subrings of $C^*(X)$**. Bull. Austral. Math. Soc. 46 (1992), 449–458. DOI 10.1017/S0004972700012119 | MR 1190348

[6] Byun H.L., Watson S.: **Prime and maximal ideals in subrings of $C(X)$**. Topology Appl. 40 (1991), 45–62. DOI 10.1016/0166-8641(91)90057-S | MR 1114090 | Zbl 0732.54016

[7] De D., Acharyya S.K.: **Characterization of function rings between $C^*(X)$ and $C(X)$**. Kyungpook Math. J. 40 (2006), 503–507. MR 2282652

[8] Ghadermazi M., Karamzadeh O.A.S., Namdari M.: **On the functionally countable subalgebra of $C(X)$**. Rend. Sem. Mat. Univ. Padova 129 (2013), 47–69. DOI 10.4171/RSMUP/129-4 | MR 3090630 | Zbl 1279.54015

[9] Gillman L., Jerison M.: **Rings of Continuous Functions**. Springer, New York, 1978. MR 0407579 | Zbl 0327.46040

[10] Henriksen M., Johnson D.G.: **On the struture of a class of archimedean lattice-ordered algebras**. Fund. Math. 50 (1961), 73–94. MR 0133698

[11] Johnson D.G., Mandelker M.: **Functions with pseudocompact support**. General Topology Appl. 3 (1973), 331–338. DOI 10.1016/0016-660X(73)90020-2 | MR 0331310 | Zbl 0277.54009

[12] Koushesh M.R.: **The partially ordered set of one-point extensions**. Topology Appl. 158 (2011), 509–532. DOI 10.1016/j.topol.2010.12.001 | MR 2754374 | Zbl 1216.54007

[13] Plank D.: **On a class of subalgebras of $C(X)$ with applications to $\beta X-X$**. Fund. Math. 64 (1969), 41–54. MR 0244953

[14] Redlin H., Watson S.: **Maximal ideals in subalgebras of $C(X)$**. Proc. Amer. Math. Soc. 100 (1987), 763–766. MR 0894451 | Zbl 0622.54011

[15] Redlin L., Watson S.: **Structure spaces for rings of continuous functions with applications to realcompactifications**. Fund. Math. 152 (1997), 151–163. MR 1441231 | Zbl 0877.54015

[16] Rudd D.: **On isomorphism between ideals in rings of continuous functions**. Trans. Amer. Math. Soc. 159 (1971), 335–353. DOI 10.1090/S0002-9947-1971-0283575-1 | MR 0283575

[17] Rudd D.: **On structure spaces of ideals in rings of continuous functions**. Trans. Amer. Math. Soc. 190 (1974), 393–403. DOI 10.1090/S0002-9947-1974-0350690-6 | MR 0350690 | Zbl 0288.46025