Differential calculus over N-graded commutative rings
arXiv:1605.07115
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.
71 pages. arXiv admin note: substantial text overlap with arXiv:0910.1515, arXiv:0908.1886