Extensions and Deformations of Algebras with Higher Derivations
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DOI: 10.1007/s40840-021-01197-6
Abstract: Higher derivations on an associative algebra generalizes higher order derivatives. We call a tuple consisting of an algebra and a higher derivation on it by an AssHDer pair. We define a cohomology for AssHDer pairs… read more here.
Keywords: algebras higher; extensions deformations; cohomology; higher derivations ... See more keywords
Multiplicative *-Lie type higher derivations of standard operator algebras
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DOI: 10.1080/00927872.2021.1906266
Abstract: Abstract Let be a standard operator algebra on an infinite dimensional complex Hilbert space containing identity operator I. Let be the polynomial defined by n indeterminates and their multiple *-Lie products and be the set… read more here.
Keywords: multiplicative lie; lie type; higher derivations; type higher ... See more keywords
Multiplicative ∗-Jordan type higher derivations on von Neumann algebras
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DOI: 10.2989/16073606.2019.1649734
Abstract: Abstract Let be a von Neumann algebra without nonzero central abelian projections on a complex Hilbert space . Let pn (X 1 , X 2 , · · ·, Xn ) be the polynomial defined… read more here.
Keywords: jordan type; higher derivations; derivations von; type higher ... See more keywords