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The document presents a cohomological approach to linear algebra over (Z2)n-commutative algebras, extending concepts like trace and determinant, and includes examples such as Clifford algebras. It introduces a graded analogue of the Koszul complex and the graded Berezinian module, aiming to generalize the Berezinian integral over multi-graded manifolds. The paper is structured into sections covering graded linear algebra, matrix calculus, and interpretations of graded Berezinian and trace, with implications

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1522594086aaa

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EN