The spectral topology of a ring is easily defined, has familiar applications in elementary Banach algebra theory, and appears relevant to abstract Fredholm and stable range theory.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm200-3-4, author = {Dragana Cvetkovi\'c-Ili\'c and Robin Harte}, title = {The spectral topology in rings}, journal = {Studia Mathematica}, volume = {196}, year = {2010}, pages = {267-278}, zbl = {1221.46051}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm200-3-4} }
Dragana Cvetković-Ilić; Robin Harte. The spectral topology in rings. Studia Mathematica, Tome 196 (2010) pp. 267-278. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm200-3-4/