@article{Zhao2025, 
author = {Xueting Zhao and Yichuan Yang},
title = {Power, principal, and isotone    (  ⊙  ,  ∨  )-higher derivations on MV-algebras},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {11},
pages = {25791-25810},
keywords = {MV-algebra, higher derivation, MV-chain, semigroup, fixed point, lattice ideal},
url = {https://www.sciopen.com/article/10.3934/math.20251141},
doi = {10.3934/math.20251141},
abstract = {This paper studies three types of    (  ⊙  ,  ∨  )-higher derivations on MV-algebras: power, principal, and isotone    (  ⊙  ,  ∨  )-higher derivations. We show that every principal    (  ⊙  ,  ∨  )-higher derivation is both power and isotone. However, counterexamples demonstrate that no pairwise implications hold beyond the established one. Furthermore, explicit constructions of power    (  ⊙  ,  ∨  )-higher derivations are provided. Additionally, we characterize isotone    (  ⊙  ,  ∨  )-higher derivations and show that the fixed point set of any principal    (  ⊙  ,  ∨  )-higher derivation forms a lattice ideal.}
}