On special classes of prime filters in BL-algebras
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Mahta Bedrood
Abstract
In this paper, a new concept called J-prime filters in BL-algebras are investigated. A J-prime filter F is defined as a proper filter that preserves the property of being prime with respect to another filter J. If J is not a subset of F, then the J-prime filter is referred to as an NJ-prime filter. The relationships between these filters and their connections to minimal prime filters and maximal filters are investigate.
Acknowledgement
The authors would like to express their sincere appreciation to the reviewers for their valuable comments and constructive suggestions, which significantly improved the quality of this manuscript.
(Communicated by Anatolij Dvurečenskij)
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Artikel in diesem Heft
- A new categorical equivalence for stone algebras
- On special classes of prime filters in BL-algebras
- A note on characterized and statistically characterized subgroups of 𝕋 = ℝ/ℤ
- New Young-type integral inequalities using composition schemes
- The structure of pseudo-n-uninorms with continuous underlying functions
- Jensen-type inequalities for a second-order differential inequality condition
- A direct proof of the characterization of the convexity of the discrete Choquet integral
- Envelope of plurifinely plurisubharmonic functions and complex Monge-Ampère type equation
- Fekete-Szegö inequalities for Φ-parametric and β-spirllike mappings of complex order in ℂn
- Entire function sharing two values partially with its derivative and a conjecture of Li and Yang
- Oscillatory properties of third-order semi-canonical dynamic equations on time scales via canonical transformation
- Weighted B-summability and positive linear operators
- Some properties and applications of convolution algebras
- On measures of σ-noncompactess in F-spaces
- On the kolmogorov–feller–gut weak law of large numbers for triangular arrays of rowwise and pairwise negatively dependent random variables
- Intermediately trimmed sums of oppenheim expansions: A strong law
- Novel weighted distribution: Properties, applications and web-tool
- On the q-Gamma distribution: Properties and inference
- Finiteorthoatomistic effect algebras and regular algebraic E-test spaces
- Prof. RNDr. Anatolij Dvurečenskij, DrSc. 75th anniversary
