Local and 2-local 1/2-derivation on naturally graded non-Lie p-filiform algebras

Key Points

• Local and 2-local 1/2-derivations exist in p-filiform Leibniz algebras, showing distinct properties.
• The study proves that many p-filiform Leibniz algebras allow for local and 2-local 1/2-derivations that are not standard 1/2-derivations.
• This work provides insights into the structure of graded algebras, expanding the understanding of their algebraic properties.
• These results have implications for the classification and analysis of algebraic structures within mathematics.