We characterize C*-algebras and C*-modules such that every maximal right ideal (resp. right submodule) is algebraically finitely generated. In particular, C*-algebras satisfy the Dales-Żelazko conjecture.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-2-3, author = {David P. Blecher and Tomasz Kania}, title = {Finite generation in C*-algebras and Hilbert C*-modules}, journal = {Studia Mathematica}, volume = {223}, year = {2014}, pages = {143-151}, zbl = {1317.46035}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-2-3} }
David P. Blecher; Tomasz Kania. Finite generation in C*-algebras and Hilbert C*-modules. Studia Mathematica, Tome 223 (2014) pp. 143-151. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-2-3/