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/