Multiplicative derivations in $\vee$-hoop algebras

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran

Abstract

In this paper, first, while introducing multiplicative derivations, we examine some properties of these derivations and present properties of multiplicative derivations in $\vee$-hoop algebras. Then we show that the set of multiplicative derivations on $\vee$-hoop algebras forms a distributive lattice under certain conditions. Also, while examining the relationship between the square root and the derivation on $\vee$-hoop algebras and introducing the critical point by using the composition of them, we present some characteristics of the critical point. Finally, we show that the set of critical points forms a distributive lattice.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 15, Issue 1 - Serial Number 33
January 2026
Pages 139-165

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History

  • Receive Date: 04 December 2024
  • Revise Date: 07 May 2025
  • Accept Date: 05 August 2025

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