Geodesic
Finite generation in $C^\ast $-algebras and Hilbert $C^\ast $-modules
David P. Blecher 1   ; Tomasz Kania 2
1 Department of Mathematics University of Houston Houston, TX 77204-3008, U.S.A.
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland and Department of Mathematics and Statistics Fylde College Lancaster University Lancaster LA1 4YF, United Kingdom
Studia Mathematica, Tome 224 (2014) no. 2, pp. 143-151 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm224-2-3
Keywords: characterize * algebras * modules every maximal right ideal resp right submodule algebraically finitely generated particular * algebras satisfy dales elazko conjecture

David P. Blecher  1   ; Tomasz Kania  2

1 Department of Mathematics University of Houston Houston, TX 77204-3008, U.S.A.
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland and Department of Mathematics and Statistics Fylde College Lancaster University Lancaster LA1 4YF, United Kingdom 
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     title = {Finite generation in $C^\ast $-algebras and {Hilbert} $C^\ast $-modules},
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David P. Blecher; Tomasz Kania. Finite generation in $C^\ast $-algebras and Hilbert $C^\ast $-modules. Studia Mathematica, Tome 224 (2014) no. 2, pp. 143-151. doi: 10.4064/sm224-2-3

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