M. Dubois-Violette, P. W. Michor
Dèrivations et calcul diffèrentiel non commutatif II
The paper is published: C.R. Acad. Sci. Paris, Serie I 319 (1994) 927-931

MSC:

16W25 Derivations, actions of Lie algebras

16W50 Graded rings and modules

17B56 Cohomology of Lie algebras

16S32 Rings of differential operators, See also {13N10, 32C38}

58A12 de Rham theory, See also {14Fxx}

58B30 Noncommutative differential geometry and topology, See also {46L30, 46L87, 46L89}

Abstract: We characterize the derivation
$d:A\rightarrow \Omega^1_{\der}(A)$ by a universal
property introducing a new class of bimodules.

Keywords: graded differential algebra, category of bimodules, derivation