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We present the class of deformations of simple Euclidean superalgebra, whichdescribe the supersymmetrization of some Lie algebraic noncommutativity of D=4Euclidean space-time. The presented deformations are generated by thesupertwists. We provide new explicit formulae for a chosen twisted D=4Euclidean Hopf superalgebra and describe the corresponding quantum covariantdeformation of chiral Euclidean superspace.

New class of quantum deformations of D=4 Euclidean supersymmetry