Geodesic
Yang--Baxter operators and noncommutative de~Rham complexes
Izvestiya. Mathematics , Tome 44 (1995) no. 2, pp. 315-338.

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Axiomatic approaches to the construction of differential calculi on quantum objects are studied in this paper. The connection between universal coacting semigroups and $R$-matrix quantum semigroups is investigated. Covariant quantum (noncommutative) de Rham complexes on quantum spaces, strong $R$-matrix quantum semigroups, and the quantum group $SL_q(2)$ are described. 
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E. E. Mukhin. Yang--Baxter operators and noncommutative de~Rham complexes. Izvestiya. Mathematics , Tome 44 (1995) no. 2, pp. 315-338. http://geodesic.mathdoc.fr/item/IM2_1995_44_2_a5/

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