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May 27, 2026Journal of Mathematics0 citationsOpen Access

Permuting Generalized f ‐Triderivations on Lattices

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AAAreej AlmuhaimeedTaibah UniversityFSFaiza ShujatTaibah UniversityAAAbu Zaid AnsariIslamic University of Madinah

Key Points

  • This research aims to analyze the structure of permuting generalized f-triderivations and describe their properties in the context of lattices.
  • Examined the structure of permuting generalized f-triderivations on lattices.
  • Characterized distributive and modular lattices using properties of triderivations.
  • Utilized the trace of permuting generalized f-triderivations for the analysis.
  • Described some properties of permuting generalized f-triderivations in relation to lattice structures.
  • Characterized distributive and modular lattices effectively.
  • Provided new insights into the connections between lattice theory and triderivations.

Abstract

G. Szász initially proposed the idea of lattice derivation, and it has since been revived in the study of other problems in various branches of mathematics and applied sciences. The intention of the current research is to examine the structure of permuting generalized f ‐triderivation linked with permuting f ‐triderivation on lattice and to provide a description of some related properties. Furthermore, the trace of permuting generalized f ‐triderivations and permuting f ‐triderivations is used to characterize distributive and modular lattices utilizing the greatest element of .

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Cite This Study

Almuhaimeed et al. (2026) studied this question.

synapsesocial.com/papers/6a168b160c924ddd1bd59f5fhttps://doi.org/10.1155/jom/5642370
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