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Fundamental functors of differential calculus in graded algebras. (English. Russian original) Zbl 0704.16023
Russ. Math. Surv. 44, No. 3, 220-221 (1989); translation from Usp. Mat. Nauk 44, No. 3(267), 151-152 (1989).
The scheme of construction of the basic functors of differential calculus over a commutative algebra is generalized to graded, in particular noncommutative, algebras. Main results state that three sequences are complexes, in particular some generalizations of the de Rahm complex and Spencer complex are obtained.
Reviewer: E.V.Pankrat’ev

16W50 Graded rings and modules (associative rings and algebras)
16E30 Homological functors on modules (Tor, Ext, etc.) in associative algebras
16S32 Rings of differential operators (associative algebraic aspects)
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