Invariance of Hochschild and Cyclic (Co)homology of Superalgebras Under Graded Equivalences

DOI10.1080/00927870903366819zbMath1220.16011OpenAlexW1992172799MaRDI QIDQ5390559

Deke Zhao

Publication date: 4 April 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870903366819

zbMATH Keywords

Morita equivalencesHochschild cohomologycyclic homologyHochschild homologysuperalgebrascyclic cohomologygraded equivalences

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) ``Super (or ``skew) structure (16W55)

Related Items

Graded Morita equivalence of Clifford superalgebras ⋮ Graded Hochschild cohomology of a path algebra with oriented cycles. ⋮ Hochschild and cyclic (co)homology of superadditive categories

Cites Work

• Superspecies and their representations.
• Rings graded equivalent to the Weyl algebra.
• A Künneth formula for the cyclic cohomology of \(\mathbb Z/2\)-graded algebras
• Graded Artin algebras
• Graded equivalences and Picard groups
• Graded rings and equivalences of categories
• On the cyclic homology of supermatrices
• THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
• Twisted Graded Algebras and Equivalences of Graded Categories