(f, g)-Derivations in residuated lattices

Document Type : Original Manuscript

Authors

1 National school of Applied Sciences ENSAK, Ibn Tofail University, BP 241, 14000 KenitraMorocco

2 National school of Applied Sciences ENSAK, Ibn Tofail University, BP 241, 14000 KenitraMorocco.

3 Superior School of Technology, Ibn Tofail University, BP 241, 14000 Kenitra-Morocco.

Abstract

In this paper, we present and examine the characteristics of (f, g)-derivations for a residuated lattice. Some relationships between (f, g)-derivationand isotone, contractive and ideal (f, g)-derivations are given. The set of fixedpoint of an (f, g)-derivation is introduced and its structure is studied. More precisely, we show that the set of fixed points is also a residuated lattice.

Keywords

References

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Journal of Algebraic Systems

Articles in Press, Accepted Manuscript
Available Online from 09 April 2024

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