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(⊙,∨)-Derivations on MV-algebras.
- Source :
-
Soft Computing - A Fusion of Foundations, Methodologies & Applications . Feb2024, Vol. 28 Issue 3, p1833-1849. 17p. - Publication Year :
- 2024
-
Abstract
- Let A be an MV-algebra. An (⊙ , ∨) -derivation on A is a map d : A → A satisfying: d (x ⊙ y) = (d (x) ⊙ y) ∨ (x ⊙ d (y)) for all x , y ∈ A . This paper initiates the study of (⊙ , ∨) -derivations on MV-algebras. Several families of (⊙ , ∨) -derivations on an MV-algebra are explicitly constructed to give realizations of the underlying lattice of an MV-algebra as lattices of (⊙ , ∨) -derivations. Furthermore, (⊙ , ∨) -derivations on a finite MV-chain are enumerated and the underlying lattice is described. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POINT set theory
Subjects
Details
- Language :
- English
- ISSN :
- 14327643
- Volume :
- 28
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Soft Computing - A Fusion of Foundations, Methodologies & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 175199606
- Full Text :
- https://doi.org/10.1007/s00500-023-09384-2