A Boolean Lattice of Isotone Derivations

Authors

  • Mourad Yettou
  • Ali Jaballah

Keywords:

Boolean lattice, derivation, isotone derivation, fixed point, fixed set.

Abstract

Westudy the set of derivations that are isotone on a Boolean lattice. To that end, new properties of derivations on an arbitrary Boolean lattice are established. The complement of an isotone derivation is detected. In addition, a Boolean structure for the lattice of isotone derivations is introduced and characterized. As well as, a strong negation for this Boolean lattice is provided. Finally, we prove that their fixed sets form also a Boolean lattice.

Keywords: Boolean lattice, derivation, isotone derivation, fixed point, fixed set.

2010 Mathematics Subject Classification. 06B05; 06E05

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Published

2026-04-15

How to Cite

Mourad Yettou, & Ali Jaballah. (2026). A Boolean Lattice of Isotone Derivations. Jordan Journal of Mathematics and Statistics, 19(1), 65–71. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1680

Issue

Vol. 19 No. 1 (2026)

Section

Articles

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