• Corpus ID: 252531868

Obtaining Leibniz's rule for derivations in its most general form

@inproceedings{Hosseini2022ObtainingLR,
  title={Obtaining Leibniz's rule for derivations in its most general form},
  author={Amin Hosseini},
  year={2022}
}
. The main purpose of this paper is to obtain Leibniz’s rule for generalized types of derivations via Newton’s binomial formula. In fact, we provide a short formula to calculate the nth power of any kind of derivations. 
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References

SHOWING 1-3 OF 3 REFERENCES

The non-commutative Newton’s binomial formula in non-unital algebras and with a negative power

In this article, we present a simple idea to obtain the non-commutative Newton’s binomial formula in unital algebras and then, we achieve the formula in non-unital algebras. Additionally, we…

Banach algebras and automatic continuity

Banach algebras combine algebraic and analytical aspects: it is the interplay of these structures that gives the subject its fascination. This volume expounds the general theory of Banach algebras,…

Double derivations on C*-algebras

Let A be an algebra and ," : A ! A be linear map- pings. We say that a linear mapping d : A ! A is a (," )-double derivation if d(ab) = d(a)b + ad(b) + (a)"(b) + "(a) (b) for all a,b 2 A. By a…