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- W3202977428 abstract "Higher derivations on an associative algebra generalize higher-order derivatives. We call a tuple consisting of an algebra and a higher derivation on it by an AssHDer pair. We define cohomology for AssHDer pairs with coefficients in a representation. Next, we study central extensions of an AssHDer pair and relate them with the second cohomology group of the AssHDer pair. Finally, we consider deformations of AssHDer pairs that are governed by the cohomology with self-coefficient." @default.
- W3202977428 created "2021-10-11" @default.
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- W3202977428 date "2021-09-25" @default.
- W3202977428 modified "2023-09-26" @default.
- W3202977428 title "Extensions and Deformations of Algebras with Higher Derivations" @default.
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- W3202977428 doi "https://doi.org/10.1007/s40840-021-01197-6" @default.
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