Geodesic
Characterizing algebras of $C^\infty$-functions on manifolds
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 519-521

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Among all $C^\infty$-algebras we characterize those which are algebras of $C^\infty$-functions on second countable Hausdorff $C^\infty$-manifolds.
Classification : 46J15, 46J20, 46M15, 51K10, 58A03, 58A05, 58B10
Keywords: $C^\infty$-algebra; smooth manifold 
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     title = {Characterizing algebras of $C^\infty$-functions on manifolds},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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     number = {3},
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Michor, Peter W.; Vanžura, Jiří. Characterizing algebras of $C^\infty$-functions on manifolds. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 519-521. http://geodesic.mathdoc.fr/item/CMUC_1996__37_3_a9/