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arXiv · 1605.07115

Differential calculus over N-graded commutative rings

G. Sardanashvily·W. Wachowski
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Abstract

The Chevalley-Eilenberg differential calculus and differential operators over N-graded commutative rings are constructed. This is a straightforward generalization of the differential calculus over commutative rings, and it is the most general case of the differential calculus over rings that is not the non-commutative geometry. Since any N-graded ring possesses the associated Z_2-graded structure, this also is the case of the graded differential calculus over Grassmann algebras and the supergeometry and field theory on graded manifolds.

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G. Sardanashvily, W. Wachowski. 2016-05-23. Differential calculus over N-graded commutative rings. https://arxiv.org/abs/1605.07115

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