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On the derivations, generalized derivations and ternary derivations of degree $n$
Rendiconti del Circolo Matematico di Palermo Series 2, 2022In this paper, we introduce the concepts of derivation of degree $n$, generalized derivation of degree $n$ and ternary derivation of degree $n$, where $n$ is a positive integer, and then we study algebraic properties of these mappings. For instance, we study the image of derivations of degree $n$ on algebras and in this regard we prove ...
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Derived Varieties and Derived Equational Theories
International Journal of Algebra and Computation, 1998This paper describes a derivation process for varieties and equational theories using the theory of hypersubstitutions and M-hyperidentities. A hypersubstitution σ of type τ is a map which takes each n-ary operation symbol of the type to an n-ary term of this type.
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