Composition on FLew-algebras
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Jean B. Nganou
Abstract
We introduce the notion of CFLew-algebras, which are bounded commutative integral residuated lattices equipped with an additional operation that mimics the composition of functions. We obtain and study some of the basic properties of CFLew-algebras. In particular, we characterize semi-divisible CFLew-algebras and prove that Boolean algebras are the only CFLew-algebras having sub-CFLew-algebras of order 4. Finally, we study the effect of the composition on the filters/congruences of CFLew-algebras and also investigate the usual constructions of subalgebras, quotient algebras, as well as related classes of filters.
The author is grateful to the referee for his/her careful reading and suggestion that improved the quality of the paper.
Communicated by Roberto Giuntini
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© 2024 Mathematical Institute Slovak Academy of Sciences
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Artikel in diesem Heft
- Algebraic structures formalizing the logic of effect algebras incorporating time dimension
- Walks on tiled boards
- Composition on FLew-algebras
- On high power sums of a hybrid arithmetic function
- On indices of quintic number fields defined by x5 + ax + b
- Note on fundamental system of solutions to the differential equations (D2 − 2Dα + α2 ± β2) y = 0
- Several sharp inequalities involving (hyperbolic) tangent, tanc, cosine, and their reciprocals
- A new Approach of Generalized Fractional Integrals in Multiplicative Calculus and Related Hermite–Hadamard-Type Inequalities with Applications
- On a periodic problem for super-linear second-order ODEs
- Existence and Uniqueness of Solutions for Fractional Dynamic Equations with Impulse Effects
- Periodic Solutions for Conformable Non-autonomous Non-instantaneous Impulsive Differential Equations
- Self referred equations with an integral boundary condition
- Approximation by matrix means of double Vilenkin-Fourier series
- Maps on self-adjoint operators preserving some relations related to commutativity
- Chains in the Rudin-Frolík order
- Relative versions of first and second countability in hyperspaces
- Proportion estimation in multistage pair ranked set sampling
- The Marshall-Olkin Extended Gamma Lindley distribution: Properties, characterization and inference
