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The Chevalley--Eilenberg differential calculus and differential operators over $\mathbb N$-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.
№ | Имя | Описание | Имя файла | Размер | Добавлен |
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1. | Полный текст | N-Graded-Lect.pdf | 119,3 КБ | 2 июня 2016 [sardanashvily] |