Radical ideals and coherent frames
Banaschewski, Bernhard
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996), p. 349-370 / Harvested from Czech Digital Mathematics Library
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It follows from Stone Duality that Hochster's results on the relation between spectral spaces and prime spectra of rings translate into analogous, formally stronger results concerning coherent frames and frames of radical ideals of rings. Here, we show that the latter can actually be obtained without Stone Duality, proving them in Zermelo-Fraenkel set theory and thereby sharpening the original results of Hochster.

Publié le : 1996-01-01
Classification:  03E25,  06D05,  13A10,  13A15,  18B99,  54D80,  54H10,  54H99 
@article{118836,
     author = {Bernhard Banaschewski},
     title = {Radical ideals and coherent frames},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {37},
     year = {1996},
     pages = {349-370},
     zbl = {0853.06014},
     mrnumber = {1399006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118836}
}

Banaschewski, Bernhard. Radical ideals and coherent frames. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 349-370. http://gdmltest.u-ga.fr/item/118836/

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