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Yayın On the Hochschild homology of smash biproducts(Elsevier B.V., 2021-02) Kaygun, Atabey; Sütlü, Serkan SelçukWe develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension less than 2. We use this spectral sequence to calculate Hochschild homology of the algebra Mq(2) of quantum 2×2-matrices.Yayın Cohomologies and generalized derivations of n-Lie algebras(Electronic Journals Project, 2022) Ateşli, Begüm; Esen, Oğul; Sütlü, SerkanA cohomology theory associated to an n-Lie algebra and a representation space of it is introduced. It is shown that this cohomology theory classifies generalized derivations of n-Lie algebras as 1-cocycles, and inner generalized derivations as 1-coboundaries.
