Contracting the socle in rings of continuous functions
Dube, Themba
Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010), p. 37-54 / Harvested from Numdam
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@article{RSMUP_2010__123__37_0,
     author = {Dube, Themba},
     title = {Contracting the socle in rings of continuous functions},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {124},
     year = {2010},
     pages = {37-54},
     mrnumber = {2683290},
     zbl = {1200.06005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2010__123__37_0}
}

Dube, Themba. Contracting the socle in rings of continuous functions. Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010) pp. 37-54. http://gdmltest.u-ga.fr/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. | MR 1952051 | Zbl 1012.54025

[2] B. Banaschewski, The real numbers in pointfree topology, Textos de Matemática Série B, No. 12, Departamento de Matemática da Universidade de Coimbra, 1997. | MR 1621835 | Zbl 0891.54009

[3] B. Banaschewski, Gelfand and exchange rings: Their spectra in pointfree topology, The Arabian J. Science and Engineering, 25 (2000), pp. 3--22. | MR 1829217 | Zbl 1271.13052

[4] B. Banaschewski, On the function ring functor in pointfree topology, Appl. Categor. Struct., 13 (2005), pp. 305--328. | MR 2175953 | Zbl 1158.54308

[5] B. Banaschewski - C. Gilmour, Pseudocompactness and the cozero part of a frame, Comment. Math. Univ. Carolinae, 37(3) (1996), pp. 577--587. | MR 1426922 | Zbl 0881.54018

[6] T. Dube, Some ring-theoretic properties of almost P-frames, Alg. Univ., 60 (2009), pp. 145--162. | MR 2491419 | Zbl 1186.06006

[7] T. Dube, Notes on pointfree disconnectivity with a ring-theoretic slant, Appl. Categor. Struct., 18 (2010), pp. 55--72. | MR 2586718 | Zbl 1188.06005

[8] T. Dube, Concerning P-, essential P- and strongly zero-dimensional frames, Alg. Univ., 69 (2009), pp. 115--138. | MR 2551788 | Zbl 1190.06007

[9] M. W. Evans, Exoteric homomorphisms, J. Pure Appl. Alg., 49 (1987), pp. 117--131. | MR 920517 | Zbl 0636.13003

[10] L. Gillman - M. Jerison, Rings of Continuous Functions, Van Nostrand, Princeton, 1960. | MR 116199 | Zbl 0093.30001

[11] M. Henriksen - M. Jerison, The space of minimal prime ideals of a commutative ring, Trans. Amer. Math. Soc., 115 (1965), pp. 110--130. | MR 194880 | Zbl 0147.29105

[12] J. Lambek, Lecture notes on rings and modules, Chelsea Publ. Co. (New York, 1976). | Zbl 0365.16001

[13] P. T. Johnstone, Stone Spaces, Cambridge Univ. Press (Cambridge, 1982). | MR 698074 | Zbl 0586.54001

[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. | MR 766552 | Zbl 0524.54013

[15] R. G. Woods, Maps that characterize normality properties and pseudocompactness, J. London Math. Soc., 7 (2) (1973), pp. 453--461. | MR 346731 | Zbl 0271.54005