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math.RA2014
Determinants over graded-commutative algebras, a categorical viewpoint
Tiffany Covolo, Jean-Philippe Michel
We generalize linear superalgebra to higher gradings and commutation factors, given by arbitrary abelian groups and bicharacters. Our central tool is an extension, to monoidal cate…
math.RA2012★ 7 cited
Cohomological Approach to the Graded Berezinian
Tiffany Covolo
We develop the theory of linear algebra over a (Z_2)^n-commutative algebra (n in N), which includes the well-known super linear algebra as a special case (n=1). Examples of such gr…