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- Title
On Generalized Derivations in Residuated Lattices.
- Authors
Kuanyun Zhu; Jingru Wang; Yongwei Yang
- Abstract
In this paper, we introduce the notion of a generalized derivation determined by a derivation for a residuated lattice. First, we investigate some related properties of isotone (resp. contractive) generalized derivations and ideal generalized derivations. In addition, we get that a good ideal generalized derivation is determined by it's fixed point set. And then, we obtain that the fixed point set of good ideal generalized derivations is still a residuated lattice, which reveals the essence of the fixed point set for ideal generalized derivations. Finally, we show that the relationship between good ideal generalized derivation filters and filters of the fixed point set for good ideal generalized derivations.
- Subjects
RESIDUATED lattices; POINT set theory; LATTICE theory
- Publication
IAENG International Journal of Applied Mathematics, 2020, Vol 50, Issue 2, p330
- ISSN
1992-9978
- Publication type
Article