Contracting the socle in rings of continuous functions
Rendiconti del Seminario Matematico della Università di Padova, Tome 123 (2010), pp. 37-54 
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     author = {Dube, Themba},
     title = {Contracting the socle in rings of continuous functions},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {37--54},
     year = {2010},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {123},
     mrnumber = {2683290},
     zbl = {1200.06005},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_2010__123__37_0/}
}
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Dube, Themba. Contracting the socle in rings of continuous functions. Rendiconti del Seminario Matematico della Università di Padova, Tome 123 (2010), pp. 37-54. https://www.numdam.org/item/RSMUP_2010__123__37_0/

[1] R. N. Ball - J. Walters-Wayland, C- and C * -quotients in pointfree topology, Dissertationes Mathematicae (Rozprawy Mat.), Vol. 412 (2002), p. 62. | Zbl | MR | EuDML

[2] B. Banaschewski, The real numbers in pointfree topology, Textos de Matemática Série B, No. 12, Departamento de Matemática da Universidade de Coimbra, 1997. | Zbl | MR

[3] B. Banaschewski, Gelfand and exchange rings: Their spectra in pointfree topology, The Arabian J. Science and Engineering, 25 (2000), pp. 3--22. | MR | Zbl

[4] B. Banaschewski, On the function ring functor in pointfree topology, Appl. Categor. Struct., 13 (2005), pp. 305--328. | Zbl | MR

[5] B. Banaschewski - C. Gilmour, Pseudocompactness and the cozero part of a frame, Comment. Math. Univ. Carolinae, 37(3) (1996), pp. 577--587. | Zbl | MR | EuDML

[6] T. Dube, Some ring-theoretic properties of almost P-frames, Alg. Univ., 60 (2009), pp. 145--162. | Zbl | MR

[7] T. Dube, Notes on pointfree disconnectivity with a ring-theoretic slant, Appl. Categor. Struct., 18 (2010), pp. 55--72. | Zbl | MR

[8] T. Dube, Concerning P-, essential P- and strongly zero-dimensional frames, Alg. Univ., 69 (2009), pp. 115--138. | Zbl | MR

[9] M. W. Evans, Exoteric homomorphisms, J. Pure Appl. Alg., 49 (1987), pp. 117--131. | Zbl | MR

[10] L. Gillman - M. Jerison, Rings of Continuous Functions, Van Nostrand, Princeton, 1960. | Zbl | MR

[11] M. Henriksen - M. Jerison, The space of minimal prime ideals of a commutative ring, Trans. Amer. Math. Soc., 115 (1965), pp. 110--130. | Zbl | MR

[12] J. Lambek, Lecture notes on rings and modules, Chelsea Publ. Co. (New York, 1976). | Zbl

[13] P. T. Johnstone, Stone Spaces, Cambridge Univ. Press (Cambridge, 1982). | Zbl | MR

[14] O. A. S. Karamzadeh - M. Rostami, On the intrisic topology and some related ideals of C(X), Proc. Amer. Math. Soc., 93 (1) (1985), pp. 179--184. | Zbl | MR

[15] R. G. Woods, Maps that characterize normality properties and pseudocompactness, J. London Math. Soc., 7 (2) (1973), pp. 453--461. | Zbl | MR